how many terms of AP 8,15,22,.... add upto 1490
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Answered by
140
Given:
a=8.
d=15-8=7.
S=1490
S=n/2*[2a+(n-1)d]
1490=n/2*[16+7n-7]
=2980=n*[9+7n]
7n²+9n-2980=0
=7n²-140n+149n-2980=0
=7n(n-20)+149(n-20)=0
=(7n+149)(n-20)=0
Either
7n=-149
=n=-149/7
but n cannot be negative
so n-20=0
n=20.
The answer is 20 terms.
Hope it helps you.
karinakaria:
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