Question

if 2x, x+10,3x +2are in A.P.,then x is equals to​

Answer 1

Answer:

Given 2x,x+10,3x+2 are three consecutive terms in A.P

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We know that,

Difference of any two consecutive terms in A.P are equal.

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(x+10)-2x = (3x+2)-(x+10)

=> x+10-2x = 3x+2-x-10

=> 10-x=2x-8

=> -x-2x = -8-10

=> -3x = -18

Divide each term by (-3) , we. get

\implies \frac{(-3x)}{(-3)} = \frac{(-18)}{(-3)}⟹

(−3)

(−3x)

=

(−3)

(−18)

\implies x = 6⟹x=6

Therefore,

x = 6

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Step-by-step explanation:

hope it helps you