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The first and last terms of G.P. having ...

The first and last terms of G.P. having finite number of terms are respectively 3 and 768 and the sum of the G.P. is 1533. Find the number of terms in the G.P. and its common ratio.

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The correct Answer is:
No. of terms = 9 and common ratio = 2
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CHHAYA PUBLICATION-SEQUENCE AND SERIES-Exercise 9 C (Short Answer Type Questions)
  1. The sum of first 8 terms of a G.P. is five times the sum of the first ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. If three numbers a, b, c satisfy the relation (a^(2) + b^(2)) (b^(2) +...

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  18. If a, b, c are in geometric progression, then show that, (a^(2) + ab...

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  19. A boy saves 1 paisa the first day, 2 paise the second day, 4 paise the...

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  20. Shri A. K. Roy borrows Rs. 6000 to repay the amount with interest of R...

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