PRC-2 · Chapter 3 · Question 8 of 45
Find the sum of the first 12 terms of a geometric progression where the first term is 5 and the common ratio is -2.
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: A) -6,825
Explanation
Using the geometric sum formula S = a(1 - r^n) / (1 - r): 5(1 - (-2)^12) / (1 - (-2)) = 5(1 - 4096) / 3 = 5(-4095) / 3 = -20475 / 3 = -6,825.
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