For an AP, it is given that first term (a)= 5 and Common Difference (d) = 3 and nth term = 50. Find n and sum of first n terms of AP

In an A.P. given that the first term (a) = 54, the common difference (d) = -3 and the n^(th) term (a_(n))=0 , find n and the sum of first n terms (S_(n)) of the A.P.

Let there be an A.P. with first term ' a ' , common difference ' d ' . If a_n denotes its n t h term and S_n the sum of first n terms, find n and S_n , if a=5,\ \ d=3 and a_n=50

Let there be an A.P. with first term ' a ' , common difference ' d ' . If a_n denotes its n t h term and S_n the sum of first n terms, find d , if a=3,\ \ n=8 and S_n=192 .

Let there be an A.P. with first term ' a ' , common difference ' d ' . If a_n denotes its n t h term and S_n the sum of first n terms, find n and a , if a_n=4,\ \ d=2 and S_n=-14 .

Let there be an A.P. with first term ' a ' , common difference ' d ' . If a_n denotes its n t h term and S_n the sum of first n terms, find n and d , if a=8,\ \ a_n=62 and S_n=210 .

Let there be an A.P. with first term ' a ' , common difference ' d ' . If a_n denotes its n t h term and S_n the sum of first n terms, find n and a_n , if a=2,\ \ d=8 and S_n=90 .

The first term of an AP. is 5, the common difference is 3 and the last term is 80; find the number of terms.

In an A.P., if the first term is 22, the common difference is -4 and the sum to n terms is 64, find n .

The first term of an A.P. is 5, the common difference is 3 and the last term is 80; find the number of terms.

In an A.P. with first term 'a' and the common difference d(a, d!= 0) , the ratio 'rho' of the sum of the first n terms to sum of n terms succedding them does not depend on n . Then the ratio (a)/(d) and the ratio 'rho' , respectively are