Question

If 2x+1, 4x, 13-x are in AP, then x is

Answer 1

Answer:

2x+1+4x+13-x =0

6x+14-x=0

5x+14=0

5x= -14

x=-14/5

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Answer 2

Answer:

Since the given three terms are in AP they have a common difference.

so, 4x - (2x+1) = 13-x - (4x)

==> 4x - 2x -1 = 13 -x -4x

==> 2x - 1 = 13 - 5x

==> 2x + 5x = 13 + 1

==> 7x = 14

==> x = 14/7 = 2

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