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The first two terms of a geometric pr...

The first two terms of a geometric progression add up to 12. The sum of the third and the fourth terms is 48. If the terms of the geometric progression are alternately positive and negative, then the first term is (1) `4` (2) ` 12` (3) 12 (4) 4

A

-4

B

-12

C

12

D

4

Text Solution

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The correct Answer is:
B
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ML KHANNA-PROGRESSIONS -PROBLEM SET - 2 (MULTIPLE CHOICE QUESTIONS)
  1. In a G.P., T(2) + T(5) = 216 and T(4) : T(6) = 1 : 4 and all terms are...

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  2. In a geometric progression consisting of positive terms, each term ...

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  3. The first two terms of a geometric progression add up to 12. The su...

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  4. The third term of a G.P. is 4. The product of the first five terms is

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  5. If x, 2x + 2, 3x + 3,….are in G.P., then the fourth term is

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  6. The condition that the roots of ax^(3)+bx^(2)+cx+d =0 may be in G.P is

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  7. If a,a^(2)+2,a^(3)+10 be three consecutive terms of G.P., then the fou...

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  8. If x(1), x(2), x(3) and y(1), y(2), y(3) are both in G.P. with the sam...

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  9. If a, b, c be three successive terms of a G.P. with common ratio r and...

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  10. If (1 - k) (1 + 2x + 4x^(2) + 8x^(3) + 16x^(4) + 32x^(5)) = 1 - k^(6),...

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  11. The nth term of the series 3, sqrt(3), 1,… is (1)/(243), then n is

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  12. The first term of a G.P. whose second term is 2 and sum to infinity is...

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  13. The first and second terms of a G.P. are x^(-4) and x^(n) respectively...

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

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  15. The fourth, seventh and tenth terms of a G.P. are p,q,r respectively, ...

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  16. In a G.P., T(10) = 9 and T(4) = 4, then T(7) =

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  17. If (a^2+b^2+c^2) (b^2+c^2+d^2) <= (ab + bc +cd)^2 where a,b,c,d are no...

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  18. If a^(2) + 9b^(2) + 25c^(2) = abc ((15)/(a) + (5)/(b) + (3)/(c)), then...

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  19. If a(1),a(2),a(3), . . .,a(n) are non-zero real numbers such that (a...

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  20. alpha ,beta be the roots of the equation x^2 – 3x + a =0 and gamma , d...

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