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Three terms are in G.P. Their product is...

Three terms are in G.P. Their product is 216. If 4 be added to the first term and 6 to the second term, the resulting numbers are in A.P. Obtain the terms in G.P.

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The correct Answer is:
2, 6, 18 or 18, 6, 2
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CHHAYA PUBLICATION-SEQUENCE AND SERIES-Exercise 9 C (Long Answer Type Questions)
  1. The sum of three numbers in A.P. is 15. If 1, 4 and 19 are added to th...

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  2. The sum of three numbers in A.P. is 18. If 2, 2, 6 are added respectiv...

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  3. Three terms are in G.P. Their product is 216. If 4 be added to the fir...

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  4. Find the sum to n terms of each of the following series : 1 + 11 + 1...

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  5. Find the sum to n terms of each of the following series : 2 + 22 + ...

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  6. 0.8 + 0.88 + 0.888 + …

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  7. Find the sum to n terms of each of the following series : 0.6 + 0.6...

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  8. Find the sum to n terms of each of the following series : 1 + 4 + 1...

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  9. Three unequal numbers a, b, c are in A.P. and a, (b-a), (c-a) are in G...

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  10. If a, c, b are in A.P. and b, c, d are in G.P. prove that, b, (b-c), (...

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  11. The first term of an A.P. is the same as that of a G.P., the common di...

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  12. Find the sum to n terms : (1)/(2) + (3)/(2^(2)) + (5)/(2^(3)) +…+ (2...

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  13. Find the sum to n terms : 2 + 3.3 + 4.3^(2) + 5.3^(3) +…

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  14. Find the sum to n terms : 12 + 105 + 1008 + 10011+…

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  15. Find the sum to n terms : 12 + 14 + 24 + 58 + 164+…

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  16. The rth term of a series is (2r + 1)2^(r ), find the sum of first n te...

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  17. If one geometric mean G and two arithmetic means p, q be inserted betw...

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  18. A, B, C have together Rs. 5700 and the amount of money possessed by th...

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  19. If the (m + 1)th, (n + 1)th and (r + 1)th terms of an A.P. are in G.P....

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  20. The sum of first ten terms of an A.P. is 155 and the sum of first two ...

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