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The rth term of the series 2(1/2)+1(7/13...

The rth term of the series `2(1/2)+1(7/13)+1(1/9)+20/23+.....` is

A

`(15)/(5n+3)`

B

`(20)/(5n+4)`

C

`(20)/(5n+3)`

D

`(20)/(5n+2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • Find the 7th term of the series -1/8 +1/4 - 1/2 + 1 … :

    A
    8
    B
    `-16`
    C
    `-8`
    D
    none of these

  • The sum of n terms of the series 5/(1.2). 1/3 +7/(2.3). 1/(3^(2))+9/(3.4). 1/(3^(3))+11/(4.5). 1/(3^(4))+…. is

    A
    `1 - 1/(n+1). 1/(3^(n))`
    B
    `1+1/(n+1). 1/(3^(n))`
    C
    `1-1/(n-1). 1/(3^(n+1))`
    D
    none of these

  • The 5th term of the series (10)/(9),(1)/(3)sqrt((20)/(3)),(2)/(3),… is

    A
    `(1)/(3)`
    B
    1
    C
    `(2)/(5)`
    D
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