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Rd Chapter 9 Arithmetic Progressions Ex 9.6 Solutions

Question - 1 : - Find the sum of the following arithmetic progressions :

Answer - 1 : -

Question - 2 : - Find the sum to n term of the A.P. 5, 2, – 1, 4, -7, …,

Answer - 2 : -


Question - 3 : - Find the sum of n terms of an A.P. whose nth terms is given by an = 5 – 6n.

Answer - 3 : -


Question - 4 : - Find the sum of last ten terms of the A.P.: 8, 10, 12, 14,…, 126. [NCERT Exemplar]

Answer - 4 : -


Question - 5 : - Find the sum of the first 15 terms of each of the following sequenceshaving nth term as
(i) an = 3 + 4n
(ii) bn = 5 + 2n
(iii) xn = 6 – n
(iv) yn = 9 – 5n

Answer - 5 : -


Question - 6 : - Find the sum of first 20 terms of the sequence whose nth term is an =An + B.

Answer - 6 : -


Question - 7 : - Find the sum of the first 25 terms of an A.P. whose nth term is given by an = 2 – 3n. [CBSE 2004]

Answer - 7 : -


Question - 8 : - Find the sum of the first 25 terms of an A.P. whose nth term is given by an = 7 – 3n. [CBSE 2004]

Answer - 8 : -


Question - 9 : - If the sum of a certain number of terms starting from first term of an A.P. is 25, 22, 19, …, is 116. Find the last term.

Answer - 9 : -


Question - 10 : -
(i) How many terms of the sequence 18, 16, 14, … should be taken so that their sum is zero ?
(ii) How many terms are there in the A.P. whose first and fifth terms are -14 and 2 respectively and the sum of the terms is 40?
(iii) How many terms of the A.P. 9, 17, 25,… must be taken so that their sum is 636 ? [NCERT]
(iv) How many terms of the A.P. 63, 60, 57, ……… must be taken so that their sum is 693 ? [CBSE 2005]
(v) How many terms of the A.P. 27, 24, 21, …, should be taken so that their sum is zero? [CBSE 2016]

Answer - 10 : -


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