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Question

If x+1,3x and 4x+2 are the first three terms of an AP, then its 5th term is ___.


A

14

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B

19

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C

24

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D

28

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Solution

The correct option is C

24


Given, x+1,3x,4x+2 are in AP.
So, the difference of any two consecutive terms will be the same.

3x(x+1)=(4x+2)3x
2x1=x+2
x=3

So, the first term of the AP is a=x+1=3+1=4.
The second term of the AP is 3x=3×3=9.
Common difference, d=94=5

The nth term of an AP with first term a and common difference d is given by
tn=a+(n1)d.
t5=4+4(5)=24


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