Find the 6th term of the geometric sequence:

Question

Find the 6th term of the geometric sequence:

2, -10, 50, …


Answer 1

2, -10, 50, ... is geometric with common ratio r = -5 (in other words, you go from one term to the net by multiplying by -5). The first term is a₁ = 2.

The nth term, a_n, can be found by using the formula a_n = a₁r^n-1.

So, the 6th term is a₆ = 2(-5)⁵ = -6250