Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What kind of sequence is this?\newline711,711,711,711,711, 711, 711, 711, \dots\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither

Full solution

Q. What kind of sequence is this?\newline711,711,711,711,711, 711, 711, 711, \dots\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither
  1. Verify Consecutive Differences: Let's verify if the differences between consecutive terms are uniform. Given sequence: 711,711,711,711,ext...711, 711, 711, 711, ext{...} Are the consecutive differences in the sequence equal? 711711=0711 - 711 = 0, 711711=0711 - 711 = 0, 711711=0711 - 711 = 0. The consecutive differences in the sequence are equal and equal to zero.
  2. Check Equal Ratios: Let's check whether the ratios between consecutive terms are defined and equal. Given sequence: 711,711,711,711,ext...711, 711, 711, 711, 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 711/711=1711 / 711 = 1. The sequence has a common ratio of 11.
  3. Sequence Type: Arithmetic & Geometric: Arithmetic sequence: Consecutive terms have a common difference. Geometric sequence: Consecutive terms have a common ratio. 711,711,711,711,711, 711, 711, 711, \ldots What type of sequence is this? The sequence has a common difference of 00 and a common ratio of 11. Therefore, it is both an arithmetic and a geometric sequence.

More problems from Classify formulas and sequences