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If the sum of the first 'p' terms of an ...

If the sum of the first 'p' terms of an A.P is 'q' and sum of the first 'q' terms is 'p', then show that the sum of the first (p+q) terms is {(-(p-q))}.

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AGRAWAL PUBLICATION-ARITHMETIC PROGRESSIONS-EXAMPLE
  1. The sum of four consecutive number in AP is 32 and the ratio of the pr...

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  2. Solve : 1 +4 +7 + 10 +…….+ x=287.

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  3. The sum of the first 5 terms of an AP and the sum of the first 7 terms...

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  4. Find the sum of those integers between 1 and 500 which are multiples ...

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  5. Find the sum of those integers from 1 to 500 which are multiples of ...

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  6. Find the sum of those integers from 1 to 500 which are multiplies of...

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  7. An AP consists of 37 terms. The sum of the 3 middle most terms is 225 ...

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  8. If the sum of the first 'p' terms of an A.P is 'q' and sum of the firs...

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  9. Find the sum of the integers between 100 and 200 that are: divisible ...

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  10. Find the sum of the integers between 100 and 200 that are: not divisi...

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  11. Which term of the Arithmetic Progression -7, -12, -17, -22, …. Will be...

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  12. How many terms of the arithmetic progression 45, 39, 33, …… must be ta...

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  13. Show that the sum of an AP whose 1st term is a , the 2nd term is b and...

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  14. If the sum of the first four terms of an AP is 40 and that of the firs...

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  15. The sum of the 4^(th) and the 8^(th) terms of an Ap is 24 and the sum...

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  16. If the ratio of the 11^(th) term of an AP to its 18^(th) term is 2...

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  17. The ratio of the sums of m terms and n terms of an A.P. is m^(2) : n^(...

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  18. Solve the equation -4 + (-1) + 2 +…. +x=437.

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  19. A thief runs with a uniform speed of 100m/minute. After one minute a p...

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  20. If the ratio of the sum of the first n terms of two A.P. is (7n+1) :(4...

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