Write 3 more Arithemic Progressions.

Which of these are Arithmetic Progressions and why? (a) 2,3,5,7,8,10,15,…….. (ii) 2,5,7,10,12,15,…….. ( c) -1,-3,-5,-7 ,………

Take any Arithmetic 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 geometric progression coincide with the first and the ninth term of the arithmetic progression. Find the seventh term of the geometric progression.

The sum of n terms of two arithmetic progressions are in the ratio (3n + 8) : (7n + 15). Find the ratio of their 12^("th") terms.

The sum of n terms of two arithmetic progressions are in the ratio (3n+8):(7n+15). Find the ratio of their 12^th terms.

If 3 tickets are drawn randomly from 2n tickets numbered 1, 2, 3,………,2n, find the probability that the numbers on the chosen tickets are in arithmetic progression.

The nth term of an arithmetic progression is 3n-1. Find the progression.

If s_1 ,s_2 and s_3 are the sum of first n,2n,3n terms respectively of an arithmetic progression, then show that s_3=3(s_2-s_1) .

The sum of first 5 terms of an arithmetic progression is 80,third term will be __

If p, q, r be in arithmetic progression, then show that the pth, qth and rth terms of any geometric series will be in geometric progression.