Questions on nth Term of Airthmetic Progression

OMR|General Term Of Geometric Progressions|Sum Ton n Term Of A Geometric Progressions|Questions

Question on nth terms in A.P.

In an arithmetic progression, if S_n = n(5+3n) and t_n = 32, then the value of n is [Note : S_n and t_n denote the sum of first n terms and nth term of arithmetic progression respectively.] (A)4(B)5(C)6(D)7

For what value of n, the nth terms of the arithmetic progressions 63, 65, 67, … and 3, 10, 17,… are equal?

The ratio of the sum of n terms of two arithmetic progressions is given by (2n+3) : (5n -7) . Find the ratio of their nth terms.

The first term of an arithmetic progression is 1 and the sum of the first nine terms equal to 369. The first and the ninth term of a geometric progression coincide with the first and the ninth term of the arithmetic progression.Find the seventh term of the geometric progression.

The first term of an arithmetic progression is 1 and the sum of the first nine terms equal to 369. The first and the ninth term of a geometic progression colncide with the first and the ninth term of the arithmetic progression. Find the seventh term of the geometric progression.

OMR|Arithmetic Progressions|Properties Of An Arithmetic Progressions|Questions

If the nth term of an arithmetic progression is 3n+7, then what is the sum of its first 50 terms ?

If the nth term of an arithmetic progression is 2n-1 , then what is the sum upto n terms?