Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Will is dividing cherries among some bowls. He put $144$ cherries in the first bowl, $152$ cherries in the second bowl, $158$ cherries in the third bowl, and $162$ cherries in the fourth bowl. What kind of sequence is this? $\newline$ Choices: $\newline$ (A) arithmetic $\newline$ (B) geometric $\newline$ (C) both $\newline$ (D) neither

View step-by-step help

View step-by-step help

Identify arithmetic and geometric sequences

Full solution

Q. Will is dividing cherries among some bowls. He put

144

cherries in the first bowl,

152

cherries in the second bowl,

158

cherries in the third bowl, and

162

cherries in the fourth bowl. What kind of sequence is this?

\newline

Choices:

\newline

(A) arithmetic

\newline

(B) geometric

\newline

(C) both

\newline

(D) neither

List Cherries in Bowls: Step $1$ : List the number of cherries in each bowl in order. $\newline$ Sequence: $144$ , $152$ , $158$ , $162$
Check Differences: Step $2$ : Check if the differences between consecutive terms are equal. $\newline$ $152 - 144 = 8$ $\newline$ $158 - 152 = 6$ $\newline$ $162 - 158 = 4$ $\newline$ The differences are not the same.
Check Ratios: Step $3$ : Check if the ratios of consecutive terms are equal. $\newline$ $\frac{152}{144} \approx 1.056$ $\newline$ $\frac{158}{152} \approx 1.039$ $\newline$ $\frac{162}{158} \approx 1.025$ $\newline$ The ratios are not the same.

More problems from Identify arithmetic and geometric sequences

Question

Find the sum of the finite arithmetic series.

\sum_{n=1}^{10} (7n+4)

\newline

Posted 9 months ago

Question

Type the missing number in this sequence: `55,\59,\63,\text{_____},\71,\75,\79`

Posted 5 months ago

Question

Type the missing number in this sequence: `2, 4 8`, ______,`32`

Posted 5 months ago

Question

What kind of sequence is this?

2, 10, 50, 250, \ldots

Choices:Choices:

\newline

\text{[A]arithmetic}

\newline

\text{[B]geometric}

\newline

\text{[C]both}

\newline

\text{[D]neither}

Posted 5 months ago

Question

What is the missing number in this pattern?

1, 4, 9, 16, 25, 36, 49, 64, 81, \_\_\_\_

Posted 7 months ago

Question

Classify the series.

\sum_{n = 0}^{12} (n + 2)^3

\newline

\newline

\text{[A]arithmetic}

\newline

\text{[B]geometric}

\newline

\text{[C]both}

\newline

\text{[D]neither}

Posted 5 months ago

Question

Find the first three partial sums of the series.

\newline

1 + 6 + 11 + 16 + 21 + 26 + \cdots

\newline

Write your answers as integers or fractions in simplest form.

\newline

S_1 =

\newline

S_2 =

\newline

S_3 =

Posted 7 months ago

Question

Find the third partial sum of the series.

\newline

3 + 9 + 15 + 21 + 27 + 33 + \cdots

\newline

Write your answer as an integer or a fraction in simplest form.

\newline

S_3 =

Posted 7 months ago

Question

Find the first three partial sums of the series.

\newline

1 + 7 + 13 + 19 + 25 + 31 + \cdots

\newline

Write your answers as integers or fractions in simplest form.

\newline

S_1 =

\newline

S_2 =

\newline

S_3 =

Posted 9 months ago

Question

Does the infinite geometric series converge or diverge?

\newline

1 + \frac{3}{4} + \frac{9}{16} + \frac{27}{64} + \cdots

\newline

\newline

\text{[A]converge}

\newline

\text{[B]diverge}

Posted 5 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant