Which explicit formula is equivalent to a1 = 1, an= 4an-1?
A. an = 1(4)^n-1
B. an = 4(4)^n-1
C. an = 4(1)^n–1
D. an = 1 + (n - 1)4

A. an = 1(4)^n-1

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient between consecutive terms is always the same, called common ratio, and the sequence is given by:

In which is the first term and q is the common ratio.

We are given the following sequence:

So

That is, the quotient between consecutive terms is 4, so .

The first term is already given, . So

And thus, the correct answer is given by option A.

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step-by-step explanation:

step-by-step explanation: