What is the 6th term of the geometric sequence 2/25, 2/5, 2, 10?

To find the common ratio, divide the second term by the first term.

(2/5) / (2/25) = 2/5 * 25/2 = 50/10 = 5

an = a1 * r^ (n-1)

n = term u want to find = 6

a1 = first term = 2/25

r = common ratio = 5

a6 = 2/25 * 5^ (6-1)

q6 = 2/25 * 5^5

a6 = 2/25 * 3125

a6 = 6250/25

a6 = 250 <===