Question

Find the 9th term of the geometric sequence 5, -25, 125, ...

Answer 1

9514 1404 393

Answer:

1,953,125

Explanation:

The first term is a1 = 5; the common ratio is r = -25/5 = -5. The generic term is ...

an = a1×r^(n-1)

an = 5×(-5)^(n-1)

So, the 9th term is ...

a9 = 5×(-5)^(9-1) = 1,953,125