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Find the value of r for this geometric series

Find the value of r for this geometric series-example-1
User Bytepusher
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4 votes

Answer:

3

Explanation:

Pre-Solving

Recall that the formula for a term in a geometric sequence is
t_n=t_1(r)^(n-1).

This formula in the sigma is the
(2)/(9) (3)^(n-1).

Solving

As we can see, the 3 in
(2)/(9) (3)^(n-1) is in the place of where r is in
t_1(r)^(n-1). So, this means that the value of r is 3.

User MonJeanJean
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