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MATHEMATICS

JAMB 2006 - Question 50

Mathematics 2006 JAMB Past Questions - Question 50: How many terms of the series 3,-6,+12,-24,+..... are needed to make a total of 1-28

Choose the most appropriate option for the gap .

How many terms of the series 3,-6,+12,-24,+..... are needed to make a total of 1-28

A: 12

B: 10

C: 9

D: 8

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Correct Answer

Explanation

Sn = a (1-(r)n) / 1 - r255 = 3(1-(-2))n / 1-(-2) , 255 = 3(1-(-2)n2supn = 256, 2supn = 2sup8therefore n = 8