If (x + 1), 3x and (4x + 2) are first th...

If `(x + 1), 3x and (4x + 2)` are first three terms of an A.P. then its `5^(th)` term is

A

14

B

19

C

24

D

28

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The correct Answer is:

C

`(x + 1), 3x , (4x + 2)` are in AP
`rArr 3x - (x + 1) = (4x + 2) - 3x " "rarr x = 3`
`:. a = 4, d = 9 - 4 = 5 " " rarr T_(s) = 4 + (4)5 = 24`

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