what is the common ratio of the sequence

1 year ago 39
Nature

The common ratio of a geometric sequence is the constant factor between consecutive terms. It is denoted by the letter "r" and can be calculated using the common ratio formula: (r = \frac{a_n}{a_{n-1}}), where (a_n) is the nth term of the geometric progression and (a_{n-1}) is the (n - 1)th term of the geometric progression. To calculate the common ratio in a geometric sequence, one can divide the nth term by the (n - 1)th term. The common ratio remains the same for all consecutive terms in a particular geometric progression. For example, in the geometric sequence 1, 2, 4, 8, 16, the common ratio is 2, as each term is obtained by multiplying the previous term by 2.