Question

write the value of x for which x+2,2x,2x+3are three consecutive terms of an A.P.

Answer 1

Since,

These terms are in AP.

We know that,

In AP

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

$= > 2x - (x + 2) = 2x + 3 - 2x \\ = > 2x - x - 2 = 2x + 3 - 2x \\ = > x - 2 = 3 \\ = > x = 3 + 2 \\ = > x = 5$


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