2x +1,4x-1,5x+1 _are in an arithmetic sequence. Find the x?
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Answer:
x= 4
Step-by-step explanation:
In AP,
The common difference is same between any two terms.
common difference = term2- term1 or term3-term2
hence, term2 - term1 = Term3-term2
that is,
4x-1 - (2x+1) = 5x+1 - (4x-1)
on opening the brackets
we get, 4x-1 - 2x -1 = 5x +1 -4x +1
on simplifying,
2x-2 = x +2
that is ,
2x -x = 2+2
hence,
x = 4
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