Add number of terms of the "A*P*-12-9,-6,.....If 1 is added to each terms of this AP, find the sum of the new AP.

Find the number of terms of the A.P. -12 ,\ -9,\ -6,\ dot,\ 12 . If 1 is added to each term of this A.P., then find the sum of all terms of the A.P. thus obtained.

Find the number of terms of the A.P. -12 ,\ -9,\ -6,\ dot,\ 12 . If 1 is added to each term of this A.P., then find the sum of all terms of the A.P. thus obtained.

If the nth term of the A.P. 9,7,5,... is same as the nth term of the A.P. 15,12,9,.. find ndot

Find the 23rd term of the A.P, 9,4,-1,-6,…

Find the number of terms in the A.P 3,6,9,12,….,111

The sum of the first five terms of an A.P. and the sum of the first seven terms of the same A.P. is 167. If the sum of first 10 terms of this A.P. is 235, find the sum of its first twenty terms.

The sum of the first p terms of an A.P. is q and the sum of the first q terms of the same A.P. is p. Find the sum of the first (p+q) terms of the A.P.

If the sum of m terms of an A.P, is equal to the sum of n terms of the A.P ., then the sum of (m + n) terms is

(i) Find the number of terms in the A.P. 8, 12, 16, ........124 (ii) Find the number of terms in the A.P. 75, 70, 65, .....15

(i) Find the number of terms in the A.P. 8, 12, 16, ........124 (ii) Find the number of terms in the A.P. 75, 70, 65, .....15