Question

2,(x-1),4 are the arithmetic progression. find the value of X....

Answer 1

in an A.P. of three terms , the arithmetic mean of middle term is the sum of other two terms divided by 2
therefore

x-1 = 4+2/2
x-1 = 3
x = 4

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Answer 2

2, (x-1), 4 are in A.P
Here first term(a) = 2
common difference = ?

2nd term - 1st term = 3rd term - 2nd term [since common difference is equal]
(x-1) -2 = 4 - (x-1)
x - 3 = 4 - x + 1
x - 3 = 5 - x
2x = 8
x = 4