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smc

algebra senior

Problem

In a geometric sequence of real numbers, the sum of the first terms is , and the sum of the first terms is . The sum of the first terms is
(A)
(B)
(C)
(D)
Solution
Denote the sum of the first terms as . Since we know that the sum of the first terms is which is , we have + + = because it is a geometric series. We can quickly see that = , and therefore, the sum of the first terms is
Final answer
A