If (2p – 1), 7, 3p are in AP, find the value of p.

1.	If (2p – 1), 7, 3p are in AP, find the value of p.
Answer» Let (2p-1), 7 and 3p be three consecutive terms of an AP. Then 7-(2p-1) = 3p -7 5p = 15 p = 3 When p = 3, (2p-1), 7 and 3p form three consecutive terms of an AP.

Answer»

Let (2p-1), 7 and 3p be three consecutive terms of an AP.

Then 7-(2p-1) = 3p -7

5p = 15

p = 3

When p = 3, (2p-1), 7 and 3p form three consecutive terms of an AP.

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