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The common ratio of a series in G.P. is ...

The common ratio of a series in G.P. is 3, the sum of the 1st and 3rd terms is equal to the sum of the squares of the 1st and 2nd terms, find the sum of n terms. If n = 6, show that the sum is 364.

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The correct Answer is:
`(1)/(2)(3^(n-1))`
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CHHAYA PUBLICATION-SEQUENCE AND SERIES-Exercise 9 C (Short Answer Type Questions)
  1. The common ratio of a series in G.P. is 3, the sum of the 1st and 3rd ...

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  2. If the fourth term of a series in geometric progression is 24 and the ...

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  3. How many terms of the series 64+32+16+8+… must be taken so that the su...

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  4. A G.P. has first term 3 and last term 48. If each term is twice the pr...

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  5. The sum of first 8 terms of a G.P. is five times the sum of the first ...

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  6. The sum of the first 4 terms of a G.P. is 40 and the sum of first 8 te...

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  7. The first and last terms of G.P. having finite number of terms are res...

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  8. Find three numbers in G.P. whose sum is 19 and product is 216.

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  9. Three numbers x, y, z are in G.P. Sum of the numbers is 65 and the pro...

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  10. Find the three terms in G.P. whose product is 729 and the sum of their...

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  11. The sum of three consecutive numbers in G.P. is 21 and the sum of thei...

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  12. Find the sum to n terms of the following series : (1) + (1+3) + (1+3...

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  13. Find the sum to n terms of the followig series : 1+3+7+15+31+…

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  14. Find the sum to n terms of the followig series : 3+7+14+27+52+…

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  15. If the nth term of a series be (2.3^(n-1) + 1), find the sum of first ...

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  16. If a, b, c, be respectively the pth, qth and rth terms of a G.P., prov...

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

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

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

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

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