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Since, the given three numbers ( 2p - 1 ), ( 3p + 1 ) and 11 are in AP, then
c - b = b - a
Therefore,
11 - ( 3p + 1 ) = ( 3p + 1 ) - ( 2p - 1 )
11 - 3p - 1 = 3p + 1 - 2p + 1
10 - 3p = p + 2
8 = 4p
=> p = 2
So, value of p is 2.
Hence, the given numbers will be =>
( 2p - 1 ) = 2 × 2 - 1 = 4 - 1 = 3
( 3p + 1 ) = 3 × 2 + 1 = 6 + 1 = 7
that is => 3, 7, 11
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