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The sum of the first 4 terms of a G.P. i...

The sum of the first 4 terms of a G.P. is 40 and the sum of first 8 terms is 3280. Obtain the G.P.

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The correct Answer is:
1, 3, 9, 27,… or -2, 6, -18, 54,…
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If the sum of the first n terms of a G.P. = p and the sum of the first 2n terms = 3p, show that the sum of first 3n terms = 7p.

The sum of the first p terms of an A.P. is q and the sum of the first q terms of the same A.P. is p. Find the sum of the first (p+q) terms of the A.P.

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The sum of first ten terms of an A.P. is 155 and the sum of first two terms of a G.P. is 9. The first term of the A.P. is equal to the common ratio of the G.P. and the first term of the G.P. is equal to the common difference of the A.P. Find the two progressions.

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

The sum of first 6 terms of a G.P. is 9 times the sum of its first 3 terms. Find the common ratio of the G.P.

The sum of first 15 terms of an A.P. is 750 and its first term is 15. Find its 20th term.

The sum of first P terms of an A.P. is equal to the sum of its first Q terms. Show that the sum of its first (P+Q) terms is zero.

CHHAYA PUBLICATION-SEQUENCE AND SERIES-Exercise 9 C (Short Answer Type Questions)
  1. A G.P. has first term 3 and last term 48. If each term is twice the pr...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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