2012
Mathematics
67ca00ce0c643c71d77dee1f
The sum to infinity of a geometric progression is −1/10 and the first term is −1/8 . Find the common ratio of the progression.
A.
−1/5
B.
−1/4
C.
−1/3
D.
−1/2
Correct Answer: −1/4
Explanation
Sr = a/(1−r) −1/10 = 1/8 × 1/(1−r) −1/10 = 1/8(1−r) −1/10 = 18−8r cross multiply... -1(8 - 8r) = -10 -8 + 8r = -10 8r = -2 r = -1/4
Sr = a/(1−r) −1/10 = 1/8 × 1/(1−r) −1/10 = 1/8(1−r) −1/10 = 18−8r cross multiply... -1(8 - 8r) = -10 -8 + 8r = -10 8r = -2 r = -1/4THIS WEEK's
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