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Rd Chapter 9 Arithmetic Progressions Ex 9.6 Solutions

Question - 31 : - The sum of first seven terms of an A.P. is 182. If its 4th and the 17th terms are in the ratio 1 : 5, find the A.P. [CBSE 2014]

Answer - 31 : -


Question - 32 : - The nth term of an A.P. is given by (-4n + 15). Find the sum of first 20 terms of this A.P. [CBSE 2013]

Answer - 32 : -


Question - 33 : - In an A.P., the sum of first ten terms is -150 and the sum of its next ten terms is -550. Find the A.P. [CBSE 2010]

Answer - 33 : -


Question - 34 : - Sum of the first 14 terms of an A.P. is 1505 and its first term is 10. Find its 25th term. [CBSE 2012]

Answer - 34 : -


Question - 35 : - In an A.P., the first term is 2, the last term is 29 and the sum of the terms is 155. Find the common difference of the A.P. [CBSE 2010]

Answer - 35 : -


Question - 36 : - The first and the last term of an A.P. are 17 and 350 respectively. If the common difference is 9, how many terms are there and what is their sum ? [NCERT]

Answer - 36 : -


Question - 37 : - Find the number of terms of the A.P. -12, -9, -6,…, 21. If 1 is added to each term of this A.P., then find the sum ofi all terms of the A.P. thus obtained. [CBSE 2013]

Answer - 37 : -


= 6 x 9 = 54
If we add 1 to each term, then the new sum of so formed A.P.
= 54 + 1 x 12 = 54 + 12 = 66

Question - 38 : - The sum of the first n terms of an A.P. is 3n2 + 6n. Find the nth term of this A.P. [CBSE 2014]

Answer - 38 : -


Question - 39 : - The sum of first n terms of an A.P. is 5n – n2. Find the nth term of this A.P. [CBSE 2014]

Answer - 39 : -


Question - 40 : - The sum of the first n terms of an A.P. is 4n2 + 2n. Find the nth term of this A.P. [CBSE 2014]

Answer - 40 : -


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