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The first term of an A.P. is the same as...

The first term of an A.P. is the same as that of a G.P., the common difference of the one and the common ratio of the other are both 4. If the sum of the first three terms of each series are same, find the fourteenth term of each series.

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The correct Answer is:
`52(2)/(3)` and `(1)/(3).2^(27)`
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CHHAYA PUBLICATION-SEQUENCE AND SERIES-Exercise 9 C (Long Answer Type Questions)
  1. Find the sum to n terms of each of the following series : 1 + 11 + 1...

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

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  3. 0.8 + 0.88 + 0.888 + …

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

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

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

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

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

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

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

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

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

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

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

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

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  18. The pth , qth and rth terms of an A.P. are in G.P. Prove that the comm...

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  19. If a(1), a(2),…,a(n) are in G.P., then show that (1)/(a(1)^(2) - a(2...

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

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