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The-sum-of-first-the-n-terms-of-a-series-a-n-is-given-by-S-n-3n-2-n-find-k-10-20-a-k-A-910-B-913-C-968-D-1256-




Question Number 165777 by ZiYangLee last updated on 08/Feb/22
The sum of first the n terms of a series  {a_n } is given by S_n =3n^2 +n, find Σ_(k=10) ^(20) a_k  .  A) 910  B) 913  C) 968  D) 1256
Thesumoffirstthentermsofaseries{an}isgivenbySn=3n2+n,find20k=10ak.A)910B)913C)968D)1256
Answered by Rasheed.Sindhi last updated on 08/Feb/22
S_9 =3(9)^2 +9=252  S_(20) =3(20)^2 +20=1220  Σ_(k=10) ^(20) a_k =S_(20) −S_9 =1220−252=968
S9=3(9)2+9=252S20=3(20)2+20=122020k=10ak=S20S9=1220252=968

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