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If the p^(t h) term of an A.P. is q and ...

If the `p^(t h)` term of an A.P. is `q` and the `q^(t h)` term is `p ,` prove that its `n^(t h)t e r mi s(p+q-n)dot`

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The correct Answer is:
`a_(0)=q, a_(q)=p`,
Solve to get a and d then find `a_(p+-n)=0`
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CBSE COMPLEMENTARY MATERIAL-ARITHMETIC PROGRESSION -SHORT ANSWER TYPE QUESTIONS-II
  1. Find the middle term(s) of the A.P. 7,\ 13 ,\ 19 ,\ ddot,\ 241 .

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  2. Find the sum of integers between 10 and 500 which are divisible by 7

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  3. The sum of 5th and 9th term of an A.P. is 72 and the sum of 7th and...

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  4. If the mth term of an A.P. be 1//n and nth term be 1//m then show that...

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  5. If the p^(t h) term of an A.P. is q and the q^(t h) term is p , prove ...

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  6. Find the number of natural numbers between 101 and 999 which are di...

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  7. The sum of 5th and 9th terms of an A.P. is 30. If its 25th term is thr...

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  8. If sn , the sum of first n terms of an A.P., is given by Sn=5n^2+3n , ...

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  9. Which term of the AP 3, 15, 27, 39,… will be 120 more than its 21st te...

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  10. If S(n) the sum of first n terms of an A.P. is given by Sn = 3n^(2) ...

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  11. In a flower bed, there are 23 rose plants in the first row, 21 in the ...

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  12. For what value of n, are the with terms of two APs: 63, 65, 67, . . . ...

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  13. Which term of the A.P. 3,\ 15 ,\ 27 ,\ 39 ,\ will be 132 more t...

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  14. If the sum of the first 14 terms of an AP is 1050 and its first term ...

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  15. Find the sum of the odd numbers between 0 and 50.

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  16. If Sn = 4n^(2) - n^(2) in an A.P. find the A.P.

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  17. How many terms of the AP: 9, 17, 25, . . . must be taken to give a sum...

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