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.

42

step-by-step explanation:

step-by-step explanation: it is d