The first term is 2, and the common ratio is 5. Find the 5th term.

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The first term is 2,

and the common ratio is 5.

2, 7, 12, 17, …

a_n = 5 n – 3

The 5th term is 22.

A geometric sequence is in the form

a_n = ar^(n-1)

r = 5

a = 2

a_n = 2(5)^(n-1)

Since we are finding 5th term, put 5 in for n.

a_5 = 2(5)^(5-1)

a_5 = 2(5^4)

a_5 = 2(625)

a_5 = 1250

First answer gives response for a arithmetic distribution

For a geometric progression

a(n) = a_0(r)^(n-1)

a(5) = 2*(5)^4 = 2* 625 = 1250