Question:
2x, x + 10, 3x + 2 are in A.P., find the value of x.
Answer:
Given that 2x, x + 10, 3x + 2 are in A.P.
We know that, difference between the two consecutive terms of A.P. is same.
Hence, (x + 10) - (2x) = (3x + 2) - (x + 10)
or 2(x + 10) = (2x) + (3x + 2)
2x + 20 = 5x + 2
2x - 5x = 2 - 20
- 3x = - 18
x = 6
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