The common difference of an AP is -2.Find it's sum,if it's 1st term is 100&the last term is -10
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Answer:
Sum of terms in A.P is
n/2(a+l)
Here n=56
S=28(100-10)
=2520
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Answered by
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Step-by-step explanation:
Here, a=100,tn=-10,d=-2.
tn=a+(n-1)d...formula
-10=100+(n-1)-2
(n-1)-2=-10-100
(n-1)-2=-110
n-1=-110/-2
n-1=55
n=55+1=56.
Sn=n/2[t1+tn]...formula
S56=56/2×[100+(-10)]
=28×90
S56=2520.
Sum is 2520.
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