Question

Find the 15th term in the geometric sequence shown below.

1, 3, 9...

Answer 1

Answer:'3^14

Explanation:

This geometric sequence has common ratio 3 and first term 1.

Thus, the general formula for the nth term is a(n) = 1*3(n - 1).

The 15th term is thus a(15) = 1*3^(n -1) = 3^14.

Answer 2

Explanation:

a₁ = 1

r = 3/1 = 3

an = a₁rⁿ⁻¹

a₁₅ = 1*(3)¹⁴

a₁₅ = 4782969