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If the sum of p terms of an AP is the sa...

If the sum of p terms of an AP is the same as the sum of its q terms, show that the sum of its `(p+q)` terms is zero.

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A N EXCEL PUBLICATION-SEQUENCES AND SERIES-QUESTION BANK
  1. If 9^(th) term of an A.P is zero, prove that its 29^(th) term is doubl...

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  2. If m times the m^(th) term of an A.P is equal to n times its n^(th) te...

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  3. If the sum of p terms of an AP is the same as the sum of its q terms, ...

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  4. How many terms of the sequence 54,51,48, ...be taken so that their sum...

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  5. Find the sum of all integers between 50 and 500 which are divisible by...

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  6. The sum of three numbers in A.P. is -3,'and their product is 8. Find t...

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  7. If a, b, c are in A.P, prove that 1/(bc),1/(ca),1/(ab) are also in A.P...

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  8. If (b+c-a)/a,(c+a-b)/b,(a+b-c)/c are in A.P, prove that 1/a,1/b,1/care...

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  9. Find the sum of odd integers from 1 to 2001

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  10. Find the sum of all natural numbers between 100 and 1000 which are mul...

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  11. In an A.P, the first term is 2 and the sum of the first five terms is ...

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  12. How many terms of the A.P,-6 ,-11/2,-5,...are needed to give the sum -...

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  13. If the m^th terms of an AP is 1/n and the n^th term is 1/m, prove that...

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  14. If the sum of certain number of terms of the AP 25,22,19,........is 11...

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  15. Find the sum of n terms of the AP, whose K^th term is ak=5K+1.

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  16. If the sum of n terms of an A.P. is pn+qn^2, where p and q are constan...

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  17. The sums of n terms of two A.P.s are in the ratio (5n + 4): (9n + 6). ...

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  18. If the sum of p terms of an AP is the same as the sum of its q terms, ...

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  19. The sum of the first p,q,r terms of an AP are a,b,c respectively, prov...

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  20. The ratio of the sums of m and n terms of an A.P is m^2:n^2. Show that...

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