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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

`-4`

C

`-12`

D

`12`

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • The sum of the terms of an infinite geometric progression is 3 and the sum of the squares of the terms is 81. Find the first term of the series.

    A
    5
    B
    `(27)/(5)`
    C
    `(31)/(6)`
    D
    `(19)/(3)`

  • What is the product of first 2n+1 terms of a geometric progression ?

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    The `(n+1)th` power of the nth term of the GP
    B
    The `(2n+1)th` power of the nth term of the GP
    C
    The `(2n+1)th` power of the `(n+1)th` term of the GP
    D
    The nth power of the `(n+1)th` terms of the GP

  • What is the product of first 2n+1 terms of a geometric progression ?

    A
    The (n+1)th power of the nth term of the GP
    B
    The (2n+1)th power of the nth term of the GP
    C
    The (2n+1) the powerr of the (n+1)th term of the GP
    D
    The nth power of the (n+1)th terms of the GP

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