What kind of sequence is this? 95, 106, 117, 128, ... Choices: (A)arithmetic (B)geometric (C)both (D)neither

Identify Pattern: To determine the type of sequence, we need to look at the pattern of the numbers. Let's find the difference between consecutive terms. 106 - 95 = 11 117 - 106 = 11 128 - 117 = 11Constant Difference: Since the difference between consecutive terms is constant, this indicates that the sequence is an arithmetic sequence.Arithmetic Sequence: An arithmetic sequence is defined by having a constant difference between terms, which we have established is 11 in this case. Therefore, the sequence is not geometric, as a geometric sequence would require each term to be a constant multiple of the previous term.Correct Choice: Based on the definition and the pattern observed, the correct choice is: (A) arithmetic

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What kind of sequence is this? $\newline$ $95, 106, 117, 128, \dots$ $\newline$ Choices: $\newline$ (A) arithmetic $\newline$ (B) geometric $\newline$ (C) both $\newline$ (D) neither

View step-by-step help

Home

Math Problems

Grade 8

Identify arithmetic and geometric sequences

Full solution

Q. What kind of sequence is this?

\newline

95, 106, 117, 128, \dots

\newline

Choices:

\newline

(A) arithmetic

\newline

(B) geometric

\newline

\newline

(D) neither

Identify Pattern: To determine the type of sequence, we need to look at the pattern of the numbers. Let's find the difference between consecutive terms. $\newline$ $106 - 95 = 11$ $\newline$ $117 - 106 = 11$ $\newline$ $128 - 117 = 11$
Constant Difference: Since the difference between consecutive terms is constant, this indicates that the sequence is an arithmetic sequence.
Arithmetic Sequence: An arithmetic sequence is defined by having a constant difference between terms, which we have established is $11$ in this case. Therefore, the sequence is not geometric, as a geometric sequence would require each term to be a constant multiple of the previous term.
Correct Choice: Based on the definition and the pattern observed, the correct choice is: $\newline$ (A) arithmetic