Question

Find the value of x for which ( x+2),2x,(2x+3) are three consecutive terms

of an AP​

Answer 1

Answer:

5

Step-by-step explanation:

2x-x-2 = 2x+3-2x

x-2 = 3

x = 5

Answer 2

Answer:

x = 5

Step-by-step explanation:

In an A.P. difference is always same between any two consecutive terms.

x+2, 2x and 2x + 3 are three consecutive terms of an A.P.

So,

difference d = $a_{2} - a_{1} = a_{3} - a_{2}$

               $2x - (x+2) = 2x +3 - 2x$

                    2x - x - 2 = 3

                           x - 2 = 3

                                x = 5