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a1 = p-1, a2 = p+3 and a3 = 3p-1
d = a2-a1 = a3-a2 ( Since they are in A.P.)
p+3-(p-1) = 3p-1-(p+3)
p+3-p+1 = 3p-1-p-3
4=2p-4
2p=4+4
2p=8
p=8/2
p=4
Hope it helps you!
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Now as we know that the p – 1, p + 3 and 3p – 1 are in AP. And according to the condition of AP if the terms a, b and c are in AP then the difference of the two consecutive terms must be equal and is known as the common difference i.e. b – a = c – b = common difference of the AP.
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