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The sum of first P terms of an A.P. is e...

The sum of first P terms of an A.P. is equal to that of the first Q terms. Prove that the sum of first (P+Q) terms is zero.

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The sum of first n terms of an A.P. is m and that of first m terms is n. Prove that the sum of first m + n terms is -(m + n) .

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KALYANI PUBLICATION-PROGRESSION-EXERCISE
  1. The sum of first n terms of an A.P. is Sn.If Sn=n^2p and Sm=m^2p(mn...

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  2. The first term of an A.P. is a. If sum of first p terms is zero, pro...

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  3. The sum of first P terms of an A.P. is equal to that of the first Q te...

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  4. Find the sum of all odd numbers lying between 12 and 90.

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  5. Determine the sum of the numbers lying between 100 and 500 which are d...

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  6. Find the sum of all numbers lying between 1 and 100 which are divisibl...

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  7. Determine the sum of the numbers lying between 100 and 200 which are n...

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  8. Determine the sum of following series upto n terms. 1.2+2.3+3.4+…….

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  9. Determine the sum of following series upto n terms. 1.1+2.3+3.5+…….

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  10. Determine the sum of following series upto n terms. 2.1+3.3+4.5+…….

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  11. Determine the sum of following series upto n terms. 3.8+6.11+9.14+……...

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  12. Determine the sum of following series upto n terms. 1.3+2.4+3.5+…….

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  13. Determine the sum of following series upto n terms. 1.3+5.7+9.11+…….

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  14. Determine the sum of following series upto n terms. (3^2-2^2)+(5^2-4...

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  15. Determine the sum of following series upto n terms. (1^2-2^2)+(3^2-4...

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  16. Determine the sum of following series upto n terms. 1.2^2+2.3^2+3.4^...

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  17. Determine the sum of following series upto n terms. 1+(1+2)+(1+2+3)+...

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  18. Determine the sum of following series upto n terms. 1+(3+5)+(7+9+11)...

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  19. The following are the nth terms of certain sequences. Determine whethe...

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  20. The following are the nth terms of certain sequences. Determine whethe...

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