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Sum to 25 terms of the series 0.5 + 0.55 + 0.555 + . . . is:
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a
581224−10−25
b
59224−10−25
c
581224−10−74
d
none of these
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Correct option is A
Let S=0.5+0.55+0.555+…+ upto 25 terms=59[0.9+0.99+0.999+…+up 25 terms ]=59(1−0.1)+1−(0.1)2+1−(0.1)3+…+1−(0.1)25=5925−(0.1)1−(0.1)251−0.1=581224−10-25Similar Questions
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