Question

If 2x, x+10, 3x+2 are in AP. Find the value of x​

Answer 1

Answer:

Step-by-step explanation:

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2b=a+c

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Answer 2

Answer:

If the given numbers are in A.P, there common difference must be same.

$x + 10 - 2x = 3x + 2 - (x + 10) \\ \\ - x + 10 = 3x + 2 - x - 10 \\ \\ - x + 10 = 2x - 8 \\ \\ - x - 2x = - 8 - 10 \\ \\ - 3x = - 18 \\ \\ x = \frac{ - 18}{ - 3} \\ \\ x = 6$

Hence, the value of x is 6.