Resources

Resources

Arithmetic sequences

Franklin bought

3.4

pounds of potatoes and

4.9

pounds of carrots. How many pounds of vegetables did he buy in all?

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8.3

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8.7

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9.3

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7.7

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

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73, 74, 75, 76, \ldots

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a_n = \_

Type the missing numbers in this sequence:

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112

114

115

117

118

Type the missing numbers in this sequence:

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70

84

91

98

112

Type the missing numbers in this sequence:

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-86

-80

-74

-68

Type the missing numbers in this sequence:

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-33

-40

-47

-54

-68

Type the missing numbers in this sequence:

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\_\_\_\_

111

102

93

\_\_\_\_

75

Type the missing numbers in this sequence:

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\_\_\_\_

-87

-78

-69

-60

-51

\_\_\_\_

g

be a differentiable function such that

g(-2)=-5

g^{\prime}(x)=\frac{x^{2}}{\cos ^{2}(x)+1}

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What is the value of

g(4)

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Use a graphing calculator and round your answer to three decimal places.

f(x)=\cos (x) x^{-2}

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f^{\prime}(x)=

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

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–89, –178, –267, –356, \ldots

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a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

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84, 168, 252, 336, \ldots

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a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

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25, 50, 75, 100, \ldots

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a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

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55, 56, 57, 58, \dots

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a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

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-40, -80, -120, -160, \ldots

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a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

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\text{-}75, \text{-}150, \text{-}225, \text{-}300, \ldots

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a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

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66, 132, 198, 264, \ldots

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a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

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\text{-}95, \text{-}94, \text{-}93, \text{-}92, \ldots

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a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

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\text{–}19, \text{–}38, \text{–}57, \text{–}76, \ldots

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a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

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–20, –40, –60, –80, \ldots

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a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

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68, 136, 204, 272, \ldots

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a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

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43, 44, 45, 46, \ldots

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a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

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\text{-}68, \text{-}136, \text{-}204, \text{-}272, \ldots

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a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

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–13, –26, –39, –52, \ldots

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a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

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74, 75, 76, 77, \ldots

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a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

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9, 10, 11, 12, \ldots

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a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

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77, 154, 231, 308, \ldots

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a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

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–83, –166, –249, –332, \dots

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a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

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\text{–}39, \text{–}78, \text{–}117, \text{–}156, \ldots

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a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

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59, 118, 177, 236, \ldots

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a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

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–98, –97, –96, –95, \ldots

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a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

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45, 46, 47, 48, \ldots

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a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

\newline

\text{–}77, \text{–}154, \text{–}231, \text{–}308, \ldots

\newline

a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

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22, 44, 66, 88, \ldots

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a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

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–32, –31, –30, –29, \ldots

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a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

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80, 81, 82, 83, \ldots

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a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

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24, 25, 26, 27, \ldots

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a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

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99, 100, 101, 102, \ldots

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a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

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15, 30, 45, 60, \ldots

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a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

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\text{–}73, \text{–}146, \text{–}219, \text{–}292, \ldots

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a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

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4, 5, 6, 7, \ldots

\newline

a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

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42, 84, 126, 168, \ldots

\newline

a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

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8, 9, 10, 11, \ldots

\newline

a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

\newline

78, 79, 80, 81, \ldots

\newline

a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

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16, 32, 48, 64, \ldots

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a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

\newline

40, 80, 120, 160, \ldots

\newline

a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

\newline

\text{–}36, \text{–}72, \text{–}108, \text{–}144, \ldots

\newline

a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

\newline

–57, –114, –171, –228, \dots

\newline

a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

\newline

98, 196, 294, 392, \ldots

\newline

a_n =

Write an expression to describe the sequence below. Use

n

to represent the position of a term in the sequence, where

n = 1

for the first term.

\newline

66, 67, 68, 69, \ldots

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a_n =