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Rd Chapter 9 Arithmetic Progressions Ex 9.6 Solutions

Question - 21 : - Find the sum of first 51 terms of an A.P. whose second and third terms are 14 and 18 respectively.

Answer - 21 : - In an A.P.
No. of terms = 51
Second term a2 = 14
and third term a3 = 18
Let a be the first term and d be the common
difference, then

Question - 22 : - If the sum of 7 terms of an A.P. is 49 and that of 17 terms is 289, find the sum of n terms.

Answer - 22 : -

Let a be the first term and d be the common difference of an A.P.
Sum of 7 terms = 49
and sum of 17 terms = 289

Question - 23 : - The first term of an A.P. is 5, the last term is 45 and the sum is 400. Find the number of terms and the common difference.

Answer - 23 : -


Question - 24 : - In an A.P. the first term is 8, nth term is 33 and the sum to first n terms is 123. Find n and d, the common differences. [CBSE 2008]

Answer - 24 : - In an A.P.

Question - 25 : - In an A.P., the first term is 22, nth term is -11 and the sum to first n terms is 66. Find n and d, the common difference. [CBSE 2008]

Answer - 25 : -


Question - 26 : - The first and the last terms of an AP are 7 and 49 respectively. If sum of all its terms is 420, find its common difference. [CBSE 2014]

Answer - 26 : -


Question - 27 : - The first and the last terms of an A.P. are 5 and 45 respectively. If the sum of all its terms is 400, find its common difference. [CBSE 2014]

Answer - 27 : -


Question - 28 : - The sum of first q terms of an A.P. is 162. The ratio of its 6th term to its 13th term is 1 : 2. Find the first and 15th term of the A.P. [CBSE 2015]

Answer - 28 : -


Question - 29 : - If the 10th term of an A.P. is 21 and the sum of its first ten terms is 120, find its nth term. [CBSE 2014]

Answer - 29 : -


Question - 30 : - The sum of the first 7 terms of an A.P. is 63 and the sum of its next 7 terms is 161. Find the 28th term of this A.P. [CBSE 2014]

Answer - 30 : -


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