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Five numbers are in H.P. The middle term...

Five numbers are in H.P. The middle term is 1 and the ratio of the second and the fourth terms is 2:1. Then the sum of the first three terms is

A

`11//2`

B

5

C

2

D

`14//3`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • In an A.P, the first term is 1 and sum of the first p terms is 0, then sum of the first (p + q) terms is

    A
    `(q(p+q))/(1-p)`
    B
    `(q)/(1-p)`
    C
    `((p+q)p)/(1-p)`
    D
    `(2(p+q))/(1-p)`

  • If the sum of the second , third and fourth terms of a positive term G.P is 3 and the sum of its sixth , seventh and eight terms is 243, then the sum of the first 50 terms of this G.P is :

    A
    `1/26 (3^49 - 1)`
    B
    `1/26 (3^50 - 1)`
    C
    `2/13 (3^50 - 1)`
    D
    `1/13 (3^50 - 1)`

  • In an A.P. consisting of 23 terms , the sum of the three terms in the middle is 114 and that of the last three is 204 . Find the sum of first three terms :

    A
    a. 14
    B
    b. 42
    C
    c. 24
    D
    d. 69

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