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If the sum of first 7 …

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If the sum of first 7 term of an ap is 49 and that of 17 term is 289 find the sum of first n terms.
  • 5 answers

Deepanshu Garg 10 months, 2 weeks ago

It's ok bro

Abhinav Raj Singh 10 months, 2 weeks ago

its ok brother

Naman Sisodiya 10 months, 2 weeks ago

Thank

Abhinav Raj Singh 10 months, 2 weeks ago

S7 = 7/2{2a+(n-1)d} => 49= 7/2{2a+(n-1)d} => 14= 2a + (7-1)d =>14 = 2a +6d => a + 3d = 7 ---------------(dividing by 2) => a = 7-3d -----------------(i) for S17:- S17 = 17/2 {2a+(n-1)d} => 289= 17/2 {2a+(17-1)d} => 34 = 2a + 16d => a = 17- 8d ---------------(ii) by eq(i) and eq(ii):- 17 - 8d = 7-3d =>10=5d =>d=2 again by eq(i):- a =1 by Sn:- Sn = n/2 {2a+(n-1)d} =>Sn = n/2{2+(n-1)2} => Sn = n + n^2 - n => Sn = n^2

Abhinav Raj Singh 10 months, 2 weeks ago

n^2
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