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In this lesson, we will learn how to find the sum of an infinite geometric series.
Q1:
Find the two geometric sequences given the sum of the first three terms in each one is 21 and the sum of the squares of the same terms in each one is 819. Then find the sum of an infinite number of terms for the one sequence which can be summed up to infinity.
Q2:
Find the sum of the first five terms of a geometric sequence given the second term is 27, the third term exceeds the first by 72, and all terms are positive.
Q3:
Find the sum of an infinite geometric sequence given 𝑇 = 6 5 7 and 𝑇 = 2 𝑇 .
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