If n (p(A) = 1024 , n( A U B) = 15 and n P(A) = 32 and then find n (A n B) =?
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The algebra of an arithmetic sequence is n square +2n. What is the sum of this sequence?
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Nkumar
Answered October 13, 2018
Here tn=n^2+2n
Now t1=1^2 +2×1
t2=2^2 +2×2
t3=3^2+2×
tn=n^2 +2n
Adding we have sn=(1^2+2^2+3^2+…..+n^2)+2(1+2+3+…+n)
sn={n(n+1)(2n+1)/6}+2×n(n+1)/2
=n(n+1)/2{2n+1/3+2}
=n(n+1)/2×{(2n+1+6)/3}
=n(n+1)(2n+7)/6
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