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Find the value of x,given that x+1,2x and 2x+3 are consecutive tems of a linear sequence

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using your definition of an arithmetic (linear) sequence ....

2x + 3 - 2x = 2x - (x+1)
3 = x-1
x = 4

check:
the terms would be
5, 8, and 11 , which do form a linear sequence

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