Let m and n (m<n) be the roots of the equation x^2-16x+39=0. If four terms p, q, r and s are inserted between m and n to form an AP, then what is the value of p+q+r+s?

NDA 2019 Mathematics question

Let m and n be the roots of the equation . If four terms p, q, r and s are inserted between m and n to form an AP, then what is the value of ?

Answer: (C)

(sum of roots). In the AP the sum of all six terms is

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Question ID VK-029066