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The sum of three numbers in G.P. is 56. ...

The sum of three numbers in G.P. is 56. If we subtract 1, 7, 21 from these numbers in that order, we obtain an arithmetic progression. Find the numbers.

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JBD PUBLICATION-SEQUENCES AND SERIES-EXAMPLE
  1. The sum of three numbers which are consecutive terms of an A.P. is 21....

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  2. If a,b,c are in A.P. and x,y,z are in G.P., then show that x^(b-c).y(c...

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  3. Find a G.P. for which sum of the first two terms is -4 and the fifth t...

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  4. The sum of an inifinite G.P. is 8. If the second term is 2, then find ...

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  5. Find the sum to n terms of the series 3 xx 8 + 6 xx 11 + 9 xx 14 + …

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  6. Find the sum of the series 1*n+2*(n-1)+3*(n-2)+4*(n-3)+"..."+(n-1)*2+n...

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  7. The difference between any two consecutive interior angles of a polygo...

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  8. A manufacturer reckons that the value of a machine, which costs him Rs...

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  9. If A.M and G.M of two positive numbers are 13 and 12 respectively. Fin...

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  10. Find the sum of integers from 1 to 100 that are divisible by 2 or 5.

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  11. The ratio of the sums of m and n terms of an A.P. is m^2: n^2. Show th...

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  12. If a^(2),b^(2),c^(2) are in A.P. Prove that (a)/(b+c),(b)/(c+a),(c)/(a...

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  13. If S(1),S(2),S(3)be respectively the sum of n, 2n and 3n terms of a GP...

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  14. Let S be the sum, P the product and R the sum of reciprocals of n term...

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  15. Let S be the sum, P the product and R the sum of reciprocals of n term...

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

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

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  18. The sum of three numbers in G.P. is 56. If we subtract 1, 7, 21 from t...

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  19. If a,b,c are in G.P. and x,y are the arithmetic means of a,b and b,c r...

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  20. Find the sum of first n terms of the series. 3+7 + 13 + 21 + 31 + ……...

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