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(a) The 3rd and 19th terms of an A.P. ar...

(a) The 3rd and 19th terms of an A.P. are 13 and 77 respectively. Find the A.P.
(b) The 5th and 8th terms of an A.P. are 56 and 95 respectively. Find the 25th term of this A.P.
(c) The pth and qth terms of an A.P. are q and p respectively. Prove that its (p + q)th term will be zero.

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The correct Answer is:
(a) 5, 9, 13,… (b) 316
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NAGEEN PRAKASHAN-SEQUENCE AND SERIES-Exercise 9B
  1. (a) The nth term of a progression is (3n + 5). Prove that this progres...

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  2. (a) Find the 10th term of the progression 1 + 3 + 5 +7+ ... (b) Find...

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  3. (a) Which term of the progression 4 + 8 + 12 + ... is 76 ? (b) Which...

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  4. (a) Find the 16th term from the end of the progression 3 + 6 + 9 + ......

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  5. (a) How many numbers of two digits are divisible by 3 ? (b) How man...

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  6. (a) Find the value of 'x if x + 1, 2x + 1 and x + 1 are in A.P. Also f...

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  7. (a) The 3rd and 19th terms of an A.P. are 13 and 77 respectively. Find...

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  8. If (p + 1)th term of an A.P. is twice the (q + 1)th term, then prove t...

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  9. The 12th term of an A.P. is 14 more than the 5th term. The sum of thes...

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  10. (a) Is 303, a term of the progression 5, 10, 15, ... ? (b) Is 38, a...

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  11. In an A.P., prove that : T(m+n) + T(m-n) = 2*T(m)

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  12. (i) 10 times the 10th term and 15 times the 15th term of an A.P. are e...

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  13. Which term of the A.P. (16-6i,)(15-4i), (14-2 i), ... is a : (a) pur...

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  14. (a) Which term of the progression 10,9(1)/(3),8 (2)/(3),...is the firs...

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  15. Each of two arithmetic progressions 2, 4, 6, ... and 3, 6, 9, ... are ...

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  16. If a1,a2,a3, ,an are in A.P., where ai >0 for all i , show that 1/(sqr...

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  17. If the numbers a, b, c, d, e are in arithmetic progression then find t...

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