Write the explicit formula for the geometric sequence represented by the recursive formula. a1 = 11 an = 3 · an-1 a) an = 11 · 3n b) an = 3 · 11n c) an = 11 · 3n-1 d) an = 3 · 11n-1

Option C is correct.

Explanation:

Explicit formula for the geometric sequence is given by:

where r is the common ratio term.

Given the recursive formula for geometric sequence:

For n =2

⇒

For n =3

⇒

Common ratio(r):

and so on..

⇒ r = 3

Therefore, the explicit formula for the geometric sequence represented by the recursive formula is:

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