Question

What is the 6th term of the geometric sequence 4, ?20, 100, ...? (1 point) group of answer choices ?312,500 ?12,500 62,500 1,562,500

Answer 1

12,500

Explanation:

We need to use the geometric sequence equation, An = a1(r)^(n-1)

From the first term we know A1 = 4

Then, we have to find the common ratio (r) between each of these terms by dividing one term with the next: 20/4 = 5, and we can verify this with 100/20 also equals 5.

Because we are finding the 6th term, n = 6.

Plugging it all in to the equation we get:

An = 4(5)^(6-1)

An = 4(3125)

An = 12500