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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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PSEB-SEQUENCES AND SERIES-EXERCISE
  1. The sum of some terms of G.P. is 315 whose first term and the common r...

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  2. The first term of a G.P. is 1. The sum of the third term and fifth ter...

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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 G.P. consists of an even number of terms. If the sum of all the term...

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  5. The sum of the first four terms of an A.P. is 56. The sum of the last ...

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

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

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  8. The p^(th), q^(th) and r^(th) terms of an A.P. are a, b, c, respective...

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

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

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  11. If a and b are the roots of x^2 -3x + p= 0 and c, d are roots of x^2 -...

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

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  13. If a, b, c are in A.P, b, c, d are in G.P. and 1/c,1/d,1/e are in A.P....

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  14. Find the sum of the following series up to n terms: .6+. 66 +. 666+...

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  15. Find the 20th term of the series 2xx4 + 4xx6 + 6xx8 +...+n terms.

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  16. Find the sum of the first n terms of the series: 3+7+13 +21 +31 +...

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  17. If S1,S2, S3 are the sum of first n natural numbers, their squares and...

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  18. Find the sum of the following series up to n terms: 1^3/1+(1^3+2^3)/(1...

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  19. Show that (1xx2^2+2xx3^2+....+nxx(n+1)^2)/(1^2xx2+2^2xx3+...+n^2xx(n+1...

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

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