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The sum of three numbers which are conse...

The sum of three numbers which are consecutive terms of an A.P. is 21. If the second number is reduced by 1 and the third is increased by 1, we obtain three consecutive terms of a G.P. Find the numbers.

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MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. The sum of first three terms of a GP. is 13/12 and their product is - ...

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  2. The sum of three numbers in A.P. is 15. If 1, 4 and 19 are added to th...

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  3. The sum of three numbers which are consecutive terms of an A.P. is 21....

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  4. There are four numbers such that the first three of them form an arith...

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  5. The sum of first three terms of a G.P. is 7 and the sum of their squar...

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  6. Find three numbers in G.P. : whose sum is 30 and whose Product is 216.

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  7. Find three numbers in G.P. : whose sum is 38 and whose product is 1728...

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  8. Find three numbers in G.P. whose sum is 35 and sum of their squares is...

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  9. If a, b,c are in G.P., prove that the following are also in G.P. : a...

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  10. If a, b,c are in G.P., prove that the following are also in G.P. : a...

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  11. If a, b,c are in G.P., prove that the following are also in G.P. : a...

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  12. If a,b,c, d are in G.P., show that : a+b,b+ c and c+d are also in G....

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  13. If a,b,c, d are in G.P., show that : a^(2)+b^(2), b^(2)+ c^(2) and c...

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

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  15. If a, b, c and d are in G.P. show that (a^2+ b^2+ c^2) (b^2 + c^2 + d^...

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  16. If a, b and c are three consecutive terms of an A.P.,prove that k^a, k...

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  17. If 1/(x+y),1/(2y),1/(y+z) are three consecutive terms of an A.P., prov...

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  18. The sum of four numbers in G.P. is 60 and the arithmetic mean of the f...

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  19. Find Soo, for the following infinite G.P.'s : 1,1/2, 1/2^2, ...........

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  20. Find Soo, for the following infinite G.P.'s : 1,1/3,1/9, ..............

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