If p – 1, p + 3, 3p – 1 are in AP, then find the value of p
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For AP
nth term = a + (n-1)d
For given AP
a = p-1, d = (p+3 - p +1) =4
For 3rd term
3p - 1= (p-1) + (3-1)4
3p - p = 2*4
2p = 8
p = 4
Value of p = 4
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