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A man saves Rs. 32 during the first year...

A man saves Rs. 32 during the first year , Rs. 36 in the next year and Rs. 40 in the third year . If he continues his savings in this sequence , in how many years will he save Rs. 2000 ?

Text Solution

Verified by Experts

32,36,40…….. Are in A.P.
`a=32,d=4,n=?S_(n)=2000`
`S_(n)=(n)/(2)[2a+(n-1)d]rArr2000 =(n)/(2)[64+(n-1)4]rArr2000=(n)/(2)[60+4n]`
`therefore2000=n(30+2n)rArr1000=15n+n^(2)rArrn^(2)+15n-1000rArrn=25,-40`.
`therefore` Number of years = 25
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