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Resources

Geometric sequences

At a birthday party, the first child receives

658

smiley stickers, the second child receives

658

smiley stickers, the third child receives

658

smiley stickers, and the fourth child receives

658

smiley stickers. What kind of sequence is this?

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Last year, Winchester Hardware ordered

6

hammers in September,

30

hammers in October,

150

hammers in November, and

750

hammers in December. What kind of sequence is this?

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While organizing the magazines at the doctor's office, Percy put

4

magazines in the first pile,

9

magazines in the second pile,

16

magazines in the third pile, and

25

magazines in the fourth pile. What kind of sequence is this?

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Trisha's Pizzeria made

9

pizzas on Monday,

16

pizzas on Tuesday,

25

pizzas on Wednesday, and

36

pizzas on Thursday. What kind of sequence is this?

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What kind of sequence is this?

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1, 10, 100, 1,000, \dots

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Megan is picking berries in the berry patch. She picks

53

berries from the first bush,

48

berries from the second bush,

43

berries from the third bush, and

38

berries from the fourth bush. What kind of sequence is this?

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Emma has a garden and likes to put flowers from her garden into pretty vases. Emma put

3

flowers in the first vase,

9

flowers in the second vase,

27

flowers in the third vase, and

81

flowers in the fourth vase. What kind of sequence is this?

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Fill in the blank:

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60 \times \square = 48,000

Find the common ratio of the geometric sequence

-11,33,-99, \ldots

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Find the common difference of the arithmetic sequence

13,22,31, \ldots

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Find the common difference of the arithmetic sequence

-9,-15,-21, \ldots

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Find the common difference of the arithmetic sequence

-9,-16,-23, \ldots

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Find the common ratio of the geometric sequence

15,-90,540, \ldots

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Find the common difference of the arithmetic sequence

10,17,24, \ldots

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Find the common ratio of the geometric sequence

-6,36,-216, \ldots

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Find the common ratio of the geometric sequence

8,-64,512, \ldots

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Find the common difference of the arithmetic sequence

-13,-17,-21, \ldots

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Find the missing terms in the geometric sequence below.

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3125, \square, \square, \square, \square, 32

8^{\text {th }}

term of the geometric sequence

9,-18,36, \ldots

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9^{\text {th }}

term of the geometric sequence

1,-4,16, \ldots

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8^{\text {th }}

term of the geometric sequence

7,-21,63, \ldots

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8^{\text {th }}

term of the geometric sequence

4,-12,36, \ldots

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1

. Write the recursive equation for the sequences below.

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1,4,7,10,13, \ldots

Solve the system by substitution.

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\begin{array}{l} y=4 x \\ y=7 x-30 \end{array}

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(\square, \square)

Find the next number in the following series :

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1,2,6,30,210

?

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1890

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1640

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2400

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2310

What is the slope of the line through

(-10,1)

(0, -4)