Question

If 3x+4;4x-8;7x+4 are in AP, find the value of x

Answer 1

Answer:

If x+1, 3x, and 4x+2 are in A.P., then what is x?

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What is the value of x if x+1, 3x and 4x+2 are in a.p.?

Assume these expressions are in ascending order and that they are consecutive terms of the arithmetic progression.

What is the common difference d ? Have that

d=3x−(x+1)=3x−x−1

=2x−1

and d=4x+2−3x=x+2 .

Since d=d , set these two differences equal to each other to obtain x :

2x−1=x+2⟹x=3,

and this is the answer to the problem.

The three given terms of the a.p. are then

x+1=3+1=4 ,

3x=3(3)=9 , and

4x+2=4(3)+2=12+2=14.

The common difference is d=5

Answer 2

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