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Which number should be added to the numbers 13, 15, 19 so that the resulting numbers are consecutive terms of an HP?

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Which number should be added to the numbers 13, 15, 19 so that the resulting numbers are consecutive terms of an HP?

(a)  7

(b)  6

(c)  -6

(d)   -7

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Correct option  (D) -7

Suppose that x is to be added. Then numbers 13, 15, 19 become new numbers x + 13,15 + x,19 + xc which will be in HP. So

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