What kind of sequence is this? 136, 136, 136, 136, ... Choices: (A)arithmetic (B)geometric (C)both (D)neither

Arithmetic Sequence Check: An arithmetic sequence is a sequence of numbers in which each term after the first is obtained by adding a constant difference to the previous term. To determine if this is an arithmetic sequence, we need to check if the difference between consecutive terms is constant. Calculation: 136 - 136 = 0 Math error check: Geometric Sequence Check: A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the ratio. To determine if this is a geometric sequence, we need to check if the ratio between consecutive terms is constant. Calculation: 136 / 136 = 1 Math error check: Sequence Analysis: Since the difference between consecutive terms is 0, it satisfies the condition for an arithmetic sequence. Also, since the ratio between consecutive terms is 1, it satisfies the condition for a geometric sequence. Therefore, the sequence is both arithmetic and geometric. Math error check:

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What kind of sequence is this? $\newline$ $136, 136, 136, 136, \dots$ $\newline$ Choices: $\newline$ (A) arithmetic $\newline$ (B) geometric $\newline$ (C) both $\newline$ (D) neither

View step-by-step help

Home

Math Problems

Precalculus

Identify arithmetic and geometric series

Full solution

Q. What kind of sequence is this?

\newline

136, 136, 136, 136, \dots

\newline

Choices:

\newline

(A) arithmetic

\newline

(B) geometric

\newline

\newline

(D) neither

Arithmetic Sequence Check: An arithmetic sequence is a sequence of numbers in which each term after the first is obtained by adding a constant difference to the previous term. To determine if this is an arithmetic sequence, we need to check if the difference between consecutive terms is constant. $\newline$ Calculation: $136 - 136 = 0$ $\newline$ Math error check:
Geometric Sequence Check: A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the ratio. To determine if this is a geometric sequence, we need to check if the ratio between consecutive terms is constant. $\newline$ Calculation: $\frac{136}{136} = 1$ $\newline$ Math error check:
Sequence Analysis: Since the difference between consecutive terms is $0$ , it satisfies the condition for an arithmetic sequence. Also, since the ratio between consecutive terms is $1$ , it satisfies the condition for a geometric sequence. Therefore, the sequence is both arithmetic and geometric. $\newline$ Math error check: