Question

If x+1, 3x , and 4x+2 are in A.P.,find the value of x.

Answer 1

if the terms are in a.p

then,

2t2=t1+t3

2*3x=x+1+4x+2

6x=5x+3

x=3(answer)

Answer 2

Answer:

Step-by-step explanation:

let three terms be t1, t2 and t3

now we know that

t2-t1 = t3 - t2 {common difference in AP is same }

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

2x -1 = x+2 {rhs x goes to left making it negative and subtracting it and -1 becomes +1 after its sent to rhs}

x = 3