Question

If x, 2x + 1 and 4x - 1 first three terms of an A.P., then find the fourth term of the A.P.

Answer 1

Answer:

The answer is $x=3$

Step-by-step explanation:

Concept : If three consecutive terms of an A.P. are $a,b,c$, then

                               $b-a=c-b\Rightarrow 2b=a+c$

Given $x,2x+1,4x-1$ are first three terms of an A.P.

       $\Rightarrow 2(2x+1)=x+(4x-1)\\\Rightarrow 4x+2=x+4x-1\\\Rightarrow 2+1=5x-4x\\\Rightarrow x=3$