Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Harold did $8$ sit-ups on Tuesday, $4$ sit-ups on Wednesday, $2$ sit-ups on Thursday, and $1$ sit-up on Friday. 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. Harold did

8

sit-ups on Tuesday,

4

sit-ups on Wednesday,

2

sit-ups on Thursday, and

1

sit-up on Friday. What kind of sequence is this?

\newline

Choices:

\newline

(A) arithmetic

\newline

(B) geometric

\newline

(C) both

\newline

(D) neither

List Order: Harold did $8$ sit-ups on Tuesday, $4$ sit-ups on Wednesday, $2$ sit-ups on Thursday, and $1$ sit-up on Friday. Let's list the number of sit-ups in the order they were done. $\newline$ Sequence: $8, 4, 2, 1$
Consecutive Differences: Are the differences between consecutive terms equal? $\newline$ $4 - 8 = -4$ $\newline$ $2 - 4 = -2$ $\newline$ $1 - 2 = -1$ $\newline$ The differences are not the same; therefore, it is not an arithmetic sequence.
Consecutive Ratios: Are the ratios of consecutive terms equal? $\newline$ $\frac{4}{8} = 0.5$ $\newline$ $\frac{2}{4} = 0.5$ $\newline$ $\frac{1}{2} = 0.5$ $\newline$ The ratios are the same; therefore, it is a geometric sequence.
Sequence Type: Since the sequence has a common ratio but not a common difference, it is a geometric sequence.

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 6 months ago

Question

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

Posted 2 months ago

Question

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

Posted 2 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 2 months ago

Question

What is the missing number in this pattern?

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

Posted 5 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 2 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 5 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 5 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 6 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 2 months ago

Related topics

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