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If the mth term of an A.P. be 1//n and n...

If the mth term of an A.P. be `1//n` and nth term be `1//m` then show that its (`m n` ) term is 1.

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MODERN PUBLICATION-SEQUENCES AND SERIES-REVESION EXERCISE
  1. Which term of the progression 19, 18 1/5, 17 2/5 ………. Is the first neg...

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  2. Each term of an A.P. is doubled,. Is the resulting sequence also an A....

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  3. If the mth term of an A.P. be 1//n and nth term be 1//m then show that...

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  4. If a, b, c are in AP, then prove that (a-c)^2 =4(b^2 -ac)

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  5. Show that the sequence loga ,log(a b),log(a b^2),log(a b^3), is an A.P...

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  6. How many numbers of two digits are divisible by 7?

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  7. Let S(n) denotes the sum to terms of an A.P. whose first term is a . I...

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  8. If S1,S2, S3, Sm are the sums of n terms of m A.P. ' s whose first ter...

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  9. If the sum of m terms of an A.P. is equal to the sum of either the nex...

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  10. IF the sum of p terms of an AP is q and the sum of q terms is ...

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  11. In a G.P. the first term is a, second term is b and the last term is ...

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  12. Find the sum of all natural numbers between 1 and 100, which are divis...

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  13. A man gets an appointment with two options. Either he can accept Rs. 4...

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  14. A fanner buys a used tractor for Rs 12000. He pays Rs 6000 cash and...

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  15. Shamshad Ali buys a scooter for Rs. 2200. He pays Rs. 4000 cash and ...

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  16. Two cars start together in the same direction from the same place. The...

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  17. The ages of the students of a class form an A.P. whose common differen...

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  18. "If " a^(2), b^(2), c^(2)" are in A.P., prove that "(1)/(b+c),(1)/(c+a...

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  19. If a^(-1),b^(-1),c^(-1),d^(-1) are in A.P. then show that b=(2ac)/(a+c...

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  20. if the A.M. between pth and qth terms of an A.P. be equal to the A.M. ...

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