Question

# Write the value of $$x$$ for which $$x+2,\ 2x,\ 2x+3$$ are three consecutive terms of an A.P

Solution

## Given,$$x+2,2x,2x+3$$ are in A.P.$$\Rightarrow (2x)-(x+2)=(2x+3)-(2x)$$$$2x-x-2=2x+3-2x$$$$x-2=3$$$$\therefore x=5$$The consecutive numbers are : $$5+2,2(5),2(5)+3$$$$\Rightarrow 7,10,13$$Mathematics

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