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For an A.P., show that Tp+T(p+2q)=2T(p+q...

For an A.P., show that `T_p+T_(p+2q)=2T_(p+q)` .

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If ‘a’ and ‘b’ are respectively the pth and qth terms of an A.P., show that the sum of (p + q) terms is (p+q)/2[(a + b) + (a- b)/(p - q)] .

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MBD-ARITHMETIC PROGRESSION-EXERCISE
  1. Determine an A.P. whose sum of n terms is n (n + 2). Find also the 21s...

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  2. In a sequence, the sum of first n terms is Sn = 2n^2 + 3n + 1, for all...

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  3. If the sum of n terms of a series is a + bn + cn^2. Find the nth term ...

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  4. If Sn denotes the sum of n terms of an A.P. whose first term is a, and...

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  5. For an A.P., show that Tp+T(p+2q)=2T(p+q) .

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  6. The first and last terms of an A.P. are a and l respectively. Show th...

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  7. Find the arithmetic series of n terms whose first term is a and last t...

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  8. If the sum of n terms of two arithmetic series are in the ratio. ,- (2...

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  9. If the sum of n terms of two arithmetic series are in the ratio. ,- (6...

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  10. if (3+5+7...n terms)/(5+8+11+...10 terms)=7 find n.

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  11. If the ratio of sum of m terms of an A.P. to the sum of n terms is (2m...

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  12. If the ratio of the sum of m terms of an A.P. to the sum of n terms is...

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  13. A ball rolling up an incline covers 36 metres during first second, 32 ...

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  14. A man gets employment of $ 250 per month with annual increment of $ 20...

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  15. If you save 1 paise today, 2 paise next day and 3 paise succeeding day...

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  16. A student purchased a pen for $ 100. At the end of 8 months, it was va...

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  17. A manufacturer instals a machine at a cost of $ 3,000. At the end of 9...

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  18. On 1st January every year, a person buys National saving certificates ...

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  19. On 1st January every year, a person buys National saving certificates ...

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  20. Two cars start together in the same direction at the same place.The fi...

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