What kind of sequence is this? 706, 706, 706, 706, ... Choices: (A)arithmetic (B)geometric (C)both (D)neither

Verify Consecutive Differences: Let's verify if the differences between consecutive terms are uniform. Given sequence: 706, 706, 706, 706, ... Are the consecutive differences in the sequence equal? 706 - 706 = 0, 706 - 706 = 0, 706 - 706 = 0. The consecutive differences in the sequence are equal and are all zero.Check Equal Ratios: Let's check whether the ratios between consecutive terms are defined and equal. Given sequence: 706, 706, 706, 706, ... Are the ratios between consecutive terms in the sequence equal? Since all terms are the same, the ratio of any term to the previous term is 706 / 706 = 1. The sequence has a common ratio of 1.Sequence Classification: Arithmetic sequence: Consecutive terms have a common difference. Geometric sequence: Consecutive terms have a common ratio. The sequence 706, 706, 706, 706, ... has both a common difference of 0 and a common ratio of 1. Therefore, it can be considered both an arithmetic sequence (since the difference is constant) and a geometric sequence (since the ratio is constant).

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What kind of sequence is this? $\newline$ $706, 706, 706, 706, \dots$ $\newline$ Choices: $\newline$ (A) arithmetic $\newline$ (B) geometric $\newline$ (C) both $\newline$ (D) neither

View step-by-step help

Home

Math Problems

Algebra 2

Classify formulas and sequences

Full solution

Q. What kind of sequence is this?

\newline

706, 706, 706, 706, \dots

\newline

Choices:

\newline

(A) arithmetic

\newline

(B) geometric

\newline

\newline

(D) neither

Verify Consecutive Differences: Let's verify if the differences between consecutive terms are uniform. Given sequence: $706, 706, 706, 706, ext{...}$ Are the consecutive differences in the sequence equal? $706 - 706 = 0$ , $706 - 706 = 0$ , $706 - 706 = 0$ . The consecutive differences in the sequence are equal and are all zero.
Check Equal Ratios: Let's check whether the ratios between consecutive terms are defined and equal. Given sequence: $706, 706, 706, 706, ext{...}$ Are the ratios between consecutive terms in the sequence equal? Since all terms are the same, the ratio of any term to the previous term is $706 / 706 = 1$ . The sequence has a common ratio of $1$ .
Sequence Classification: Arithmetic sequence: Consecutive terms have a common difference. Geometric sequence: Consecutive terms have a common ratio. The sequence $706, 706, 706, 706, \ldots$ has both a common difference of $0$ and a common ratio of $1$ . Therefore, it can be considered both an arithmetic sequence (since the difference is constant) and a geometric sequence (since the ratio is constant).