Question

Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 3,6,12,ldots Answer Attemptiout of a This is square sequence and the square is equal to
Solution

4
(150 Votos)

Gustavo
Avançado · Tutor por 1 anos
Resposta
if the sequence is arithmetic or geometric, we need to check if there is a constant difference or ratio between consecutive terms.In this case, the sequence is
.Let's check if it is an arithmetic sequence by finding the difference between consecutive terms:
Since the differences are not constant, the sequence is not arithmetic.Now let's check if it is a geometric sequence by finding the ratio between consecutive terms:
Since the ratios are constant, the sequence is geometric.The common ratio in simplest form is
.Therefore, the sequence
is a geometric sequence with a common ratio of
.