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Question
In GP find 1 + `1/2`+ `1/4` + ... up to 5 terms.
Options
`1 16/15`
`2 15/16`
`1 15/16`
`2 16/15`
MCQ
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Solution
`1 15/16`
Explanations:
a = 1, r = `((1/2))/1 = 1/2`, n = 5
Here, r < 1.
Hence, S5 = `("a"(1-r^n))/(1-r)=(1[1-(1/2)^5])/((1-1/2))`
= `((1 - 1/32))/((1/2)) = ((31/32))/((1/2))= 31/16 = 1 15/16`
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Number System (Entrance Exam)
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