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Dipesh writes letters to four of his fri...

Dipesh writes letters to four of his friends. He asks each of them to copy the letter and mail to four different persons with the request that they continue the chain similarly. Assuming that the chain is not broken and that it costs 25 paise to mail one letter, find the total money spent on postage till the 8th set of letters is mailed.

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A person writes a letter to four of his friends. He asks each one of them to copy the letter and mail to four different persons with instruction that they move the chain similarly. Assuming that the chain is not broken and that it costs 50 paise to mail one letter. Find the amount spent on the postage when 8th set of letter is mailed.

MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. If S1,S2,S3 be the sum of n, 2n, 3n terms of a G.P., show that : S1(S3...

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  2. An inventor of the chess board suggested a reward of one grain of whea...

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  3. Dipesh writes letters to four of his friends. He asks each of them to ...

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  4. A machine is depreciated at the rate of 10 % yearly and the ultimate s...

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  5. Insert two numbers between 3 and 81 so that the resulting sequence is ...

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  6. Insert 4 geometric means between 6 and 192.

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  7. The A.M. between two numbers is 20 and their G.M. is 16. Find the numb...

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  8. a, b, c are in G.P. and x and y are the A.M.’s between a, b and b, c r...

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  9. a, b, c are in G.P. and x and y are the A.M.’s between a, b and b, c r...

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  10. The sum of two numbers is 6 times their geometric mean, show that numb...

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  11. The ratio of the.A.M. and G.M. of two positive numbers a and b is m : ...

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  12. If G1 is the first of n geometric means between a and b, show that : G...

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  13. If G is the geometric mean between two distinct positive numbers a and...

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  14. If A.M. and G.M pf roots of a quadratic equation are 8 and 5 respectiv...

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  15. If one geometric mean G and two arithmetic means p amd q be inserted b...

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  16. If a is the A.M. of b and c and the two geometric means are G(1) and G...

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  17. If p ,q, r are in A.P., a is G.M. between p, q and b is G.M. between q...

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  18. Find n such that (a^n+b^n)/(a^(n-1)+b^(n-1)) may be the geometric mean...

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  19. If A and G be A.M. and G.M., respectively between two positive numbers...

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  20. If A and G are the A.M. and G.M. respectively between any two distinct...

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