Question

Find which term in the geometric sequence 1, 3, 9, 27, ... is the first to exceed 7,000.

hint (use a table)

Answer 1

10th term

Explanation:

3ⁿ⁻¹ > 7000

log₃ 7000 = 8.05

n - 1 > 8

n > 9

10th term

check: 1, 3, 9, 27, 81, 243, 729, 2187, 6561, 19683