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A G.P. has first term 3 and last term 48...

A G.P. has first term 3 and last term 48. If each term is twice the preceding, find the number of terms and the sum of the G.P.

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The correct Answer is:
5 and 93
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CHHAYA PUBLICATION-SEQUENCE AND SERIES-Exercise 9 C (Short Answer Type Questions)
  1. If the fourth term of a series in geometric progression is 24 and the ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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