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Question

A carpenter was hired to build 192 window frames. The first day he made 5 frames and each day, thereafter he made 2 more frames than he made the day before. How many days did he take to finish the job?

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Solution

We have 5+7+9+.....=192

As we know, Sn=n2{2a+(n1)d}..............where a=first term, n=no. of terms, d=common difference

n2×[10+(n1)×2]=192

n(n+4)=192

n2+4n192=0

(n+16)(n12)=0

n=12......as n cant be equal to 16.

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