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The first term of an A.P. is a. If sum ...

The first term of an A.P. is a. If sum of first p terms is zero, prove that the sum of first (p + q) terms is `[a(p+q)q]/(1-p)`.

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KALYANI PUBLICATION-PROGRESSION-EXERCISE
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  5. Find the sum of all odd numbers lying between 12 and 90.

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

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

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

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

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

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

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