2x+1,4x-1,5x+1 ... are arithemetic sequence find 9th term
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Correct option is
A
2
Given 2x+1,4x,13−x are in A.P.
∴a=2x+1
1) d=a
2
−a
1
∴d=4x−(2x+1)
∴d=4x−2x−1
∴d=2x−1 (1)
2) d=a
3
−a
2
∴d=13−x−4x
∴d=13−5x (2)
From (1) and (2),
2x−1=13−5x
∴7x=14
∴x=2
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