If $a, b, c, d$ are distinct positive numbers in $A . P .$ , then-

a = d

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a + c = b + d

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a + d = b + c

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(a + 1) (d + 1) > (b + 1) (c + 1)

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Solution

The correct option is D $a + d = b + c$
As a, b, c, and d are distinct positive number in AP
then
their common defference should be equal
$b - a = c - b = d - c$
Taking 1 and 3 term
$b - a = d - c$
or $b + c = a + d$

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