the sum of a certain number of terms of an ap series -8,-6,-4....is 52. the number of terms is
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Step-by-step explanation:
Given: Sn=52, a=-8, d=a2-a1=-6-(-8)=-6+8=2.
To find= n=?
Formula: Sn=n/2(2a+(n-1)d)
52(2)=n(2(-8)+(n-1)2)
104=-16n+2n²-2n
104=-18n+2n²
2n²-18n-104=0
2n²-26n+8n-104=0
2n(n-13)+8(n-13)=0
(2n+8)(n-13)
n=-8/2
Hence, n=13
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