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The first two terms of a geometric progr...

The first two terms of a geometric progression add upto 12. The sum of the third and the fourth term is 48.If the terms of the geometric progression are alternatively positive and negative, then the first term is `:`

A

4

B

`-4`

C

`-12`

D

12

Text Solution

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The correct Answer is:
C
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MODERN PUBLICATION-SEQUENCES AND SERIES -MCQ ( Level-II)
  1. The first term of a G. P. is 1. The sum of the third and fifth terms i...

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  2. Suppose a,b,c are in A.P. and a^(2) , b^(2) , c^(2) are in G.P. If a ...

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  3. If sum of the roots of the quadratic equation ax^(2) + bx+c = 0 is equ...

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  4. If f(x) is a polynomial function of second degree. IF f(1) = f(-1) and...

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  5. The sum of first n terms of the series 1^(2) + 2.2^(2) +3^(2) + 2. 4...

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  6. If s= sum(n=0)^(oo) a^(n) , y = sum(n=0)^(oo) b^(n) , z= sum (n=0)^(oo...

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  7. If alpha, beta are roots of ax^(2) + bx + c =0 , a cancel(=) 0 and alp...

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  8. Let a(1) , a(2) , a(3) , "……………" be terms of an A.P. If (a(1) + a(2) +...

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  9. If a(r ) gt 0, r in N and a(1), a(2) , a(3) ,"……..",a(2n) are in A.P....

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  10. Let x,y,z be three positive prime numbers. The progression in which sq...

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  11. If x = sum(n=0)^(oo) a^(n) .,y=sum(n=0)^(oo) b^(n) , z = sum(n=0)^(oo)...

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  12. underset("n-digits")((666"……"6))^(2) +underset("n-digits") (( 888"…" 8...

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  13. If sum(r=1)^(n) t(r ) = sum(k=1)^(n) sum(j=1)^(k) sum(i=1)^(j) 2, then...

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  14. The odd numbers are divides as follows : {:(,,1,3,,),(,5,7,9,11,),(1...

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  15. If x(1), x(2), x(3) as well as y(1) , y (2) , y (3) are in G.P. with t...

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  16. If a(1) , a(2), "……………" a(n) are in H.P., then the expression a(1) a(2...

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

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  18. The first two terms of a geometric progression add upto 12. The sum of...

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  19. The sum to infinity of the series : 1+ ( 2)/( 3) + ( 6)/( 3^(2)) +(...

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  20. If the sum of first n terms of an A.P. is cn^(2) , then the sum of squ...

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