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Question

The first term of a geometric sequence is 7, and the 7th term is 5103. What is the 5th term?

Accepted Answer

If the common ratio is r, then r^6 = 51037 = 729 = 3^6. Therefore, r^2 = 9. The 5th term is r^4 7 = 81 7 = 567. Note: r= 3.