1.

Let there be an A.P. with first term 'a', common difference 'd'. If an denotes in nth term and Sn the sum of first n terms, find.(i) n and Sn, if a = 5, d = 3 and an = 50.(ii) n and a, if an = 4, d = 2 and Sn = −14.(iii) d, if a = 3, n = 8 and Sn = 192.(iv) a, if an = 28, Sn = 144 and n= 9.(v) n and d, if a = 8, an = 62 and Sn = 210(vi) n and an, if a= 2, d = 8 and Sn = 90.(vii) k, if Sn=3n2+5n and ak=164.(viii) S22, if d=22 and a22=149

Answer» Let there be an A.P. with first term 'a', common difference 'd'. If an denotes in nth term and Sn the sum of first n terms, find.



(i) n and Sn, if a = 5, d = 3 and an = 50.



(ii) n and a, if an = 4, d = 2 and Sn = −14.



(iii) d, if a = 3, n = 8 and Sn = 192.



(iv) a, if an = 28, Sn = 144 and n= 9.



(v) n and d, if a = 8, an = 62 and Sn = 210



(vi) n and an, if a= 2, d = 8 and Sn = 90.



(vii) k, if Sn=3n2+5n and ak=164.



(viii) S22, if d=22 and a22=149


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