Very important questions of arithmetic progression CBSE class 10th
1. Which term of the AP 21, 18, 15.......... is -81? Also, is any term 0?
2. Check whether 301 is a term of the list of numbers 5, 11, 17, 23.......
3. find the sum of first 24 terms of the list of numbers whose nth term is given by
Tn = 3 + 2n.
4. The sum of 5th and 9th terms of an AP is 72 and the sum of 7th and 12th term is 97. find the A.P.
5. The ratio of the sum of n terms of two A.P.'s (7n + 1) : (4n + 27). Find the ratio of their mth terms
6. Which type of the arithmetic progression 5, 15, 25 will be 130 more than its 31st term ?
7. If pth, qth, rth terms of A. P. are 'a' , 'b' and 'c' respectively then show that
(a - b)r + (b - c)p + (c- a)q = 0
8. Ratio of the 7th to the 3rd term of an A.P. is 12 : 5. Find the ratio of the 13th to 4th term
9. If S, P, Q are the sum of first n, 2n and 3n terms of an A.P. Prove that Q = 3(P - S).
10. In an AP the sum of its m terms is equal to n and the sum of its n terms is equal to m then prove that the sum of its (m + n) terms is equal to -(m + n)
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