Which of the following is the explicit rule for a geometric sequence defined by a recursive formula of an=5an-1 for which the first term is 23?

The correct option is D.

The explicit rule for a geometric sequence is

Here

a represents the first term

r represents the common ratio

So,

So,

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D

Step-by-step explanation:

The explicit rule for a geometric sequence is

= a

where a is the first term and r the common ratio

Here a = 23 and from the recursive formula

= 5 , then r = 5 , thus explicit formula is

= 23 × → D