Question

Find the 10th term of the geometric sequence 5, 25, 125, ...

Answer 1

Below.

Explanation:

nth term = a1r^(n-1)

Here a1 = 5, r = 25/5 = 5 and n = 10.

So 10th term = 5(5)^(10-1)

= 9765625.

Answer 2

The rule of the geometric sequence is 5 raised to an x number. Therefore just do 5^10=9765625. All your essentially doing is raising the 5 to the 10th power. If you need to find any other number plug in x for whatever number you need.

Hope this helps