Tanya saves Rs.32 in January, Rs. 36 in the February
and Rs.40 in the march. If she continues her saving
in this sequence, in how many months will she save
Rs.2000?
(a) 20
(b) 22
(c) 23
(d) 25
please explain in brief
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Sn= n/2[2a+(n-1) d]=2000
=n/2[2×32+(n-1)×4]=2000
=n[2n+30]=2000
=n[n+15]=1000
=n²+15n-1000=0
=(n+40)(n-25) =0
n=-40,25
But n=-40being negative integeris not possible.
:n=25
Hence, It take 25 months for tanya to save Rs. 2000.
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