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 <===

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