What is the recursive and explicit formula of the geometric sequence? 2,5, 12.5, 31.25, 78, 125, ...

Option (2)

Step-by-step explanation:

Given geometric sequence is,

2, 5, 12.5, 31.25, 78.125......

First term = a₁ = 2

Common ratio of the sequence = r =

                                                          = 2.5

Recursive formula of a geometric sequence is given by,

Here, nth term of the sequence

(n - 1)th term

r = common ratio

Therefore, recursive formula for the given sequence will be,

Explicit formula of a geometric sequence is given by,

Therefore, explicit formula of the sequence will be,

Option (2) will be the correct option.

none cuz there are no "following statements" regarding the question

step-by-step explanation: