Find the sum ofthe following APs : 1] -37, -33, -29, .......to 12 terms .
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Answer:
Sum of n terms of AP formula:
S
n
=
2
n
[2a+(n−1)d] ......(1)
Where
First term =a
Common difference=d
Number of terms=n
1/15,1/12,1/10,..... to 11 terms
a=1/15
d=(1/12)−(1/15)=1/60
Using (1)
S
11
=11/2[2(1/15)+(11−1)(1/60)]
=(11/2)×[(2/15)+(1/6)]
=33/20
Sum of 11 terms of this AP is 33/20.
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