Theorem:-Let a be the first term and d be the common difference of an AP. Then its nth term and general term is given by `a_n=a+(n-1)d`

If a is the first term and d is the common difference of an AP, then the (n+1) th term of the AP is _____.

If (a)/(2) is the first term and d is the common difference of an AP, then the sum of n terms of the AP is _______.

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 .

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 .

Prove that the nth term of the GP with first term a and common ratio r is given by a_(n)=ar^(n-1)

Let there be an A.P.with first term 'a' common difference 'd'. If a_(n) denotes its nth 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 nth term and S_(n) the sum of first n terms,find n and a, if a_(n)=4,quad d=2 and S_(n)=-14

Let there be an A.P.with first term a', common difference 'd'. If a_(n) denotes its nth term and S_(n) the sum of first n terms,find n and a_(n), if a=2,quad d=8 and S_(n)=90

Let there be an A.P.with first term a', common difference 'd'. If a_(n) denotes its nth term and S_(n) the sum of first n terms,find n and S_(n), if a=5,quad d=3 and a_(n)=50

The first term a and common difference d are given. Find first four terms of A.P. a=8 , d=-5