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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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The correct Answer is:
8,16,32
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OMEGA PUBLICATION-SEQUENCE AND SERIES -IMPORTANT QUESTIONS FROM MISCELLANEOUS EXERCISE
  1. If f(x) is a function satisfying f(x+y)=f(x)f(y) for all xy in n such ...

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  2. The sum of some terms of GP. is 315 whose first term and the common ra...

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

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  4. A GP. consists of an even number of terms. If the sum of all the terms...

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  5. If (a+bx)/(a-bx) =(b+cx)/(b-cx) =(c + dx)/(c-dx) (x ne 0), then show t...

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  6. If a(1/b +1/c) , b(1/c +1/a), c(1/a + 1/b) are in A.P. Prove that a,b,...

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  7. If a,b,c,d are in G.P., prove that (a^(n) + b^(n)), (b^(n) + c^(n)), (...

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

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  9. Find the sum to.n terms of the following series 5+ 55 + 555+………..

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  10. Find the sum to n terms 0.6 + 0.66 + 0.666 + ………..

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  11. The sum of first 9 terms of the series (1^(3))/(1)+(1^(3)+2^(3))/(1+3)...

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

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  13. If S(1), S(2), S(3) are the sum of first n natural numbers, their squa...

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  14. Show that : (1 xx 2^2+2 xx 3^2+. .+n xx(n+1)^2)/(1^2 xx 2+2^2 xx 3+. ...

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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. A farmer, buys a used tractor for Rs.. 12000. He pays Rs.6000 cash and...

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  17. Shamshad Ali buys a scooter for Rs 22000 He pays Rs. 4000 cash And ag...

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

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

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  20. Find the sum of the sequence 7, 77, 777, 7777,.....up to n terms.

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