Question on: JAMB Mathematics - 2024
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
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Correct Option: B
For a geometric progression: S_∞ = a / (1 - r)
-1/10 = -1/8 / (1 - r)
Multiply both sides: -1/10 (1 - r) = -1/8
-(1 - r)/10 = -1/8
1 - r = 10/8 = 5/4
r = 1 - 5/4 = -1/4
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