The sum of three terms in an AP is $72$ if the common difference is $10$ find the numbers.

14, 24, 34

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24, 34, 44

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14, 24, 44

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none of these

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Solution

The correct option is D $14, 24, 34$
Let the three terms be $a - d, a, a + d$
Given common difference is $d = 10$
Sum of three terms in an AP is $72$
$⟹ a - d + a + a + d = 72$
$⟹ 3 a = 72$
$⟹ a = 24$
The three terms are $24 - 10, 24, 24 + 10 ⟹ 14, 24, 34$

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