Let A= 1,a_1,a_2, ,a_ 18 ,77 be a set of integers with 1<a_1<a_2< <a_ 18 <77. Let the set A+A= x+y:x,y A contain exactly 39 elements. Then, the value of a_1+a_2+ +a_ 18 is equal to (JEE Main 2022)

JEE Main Mathematics question

Let be a set of integers with . Let the set contain exactly 39 elements. Then, the value of is equal to (JEE Main 2022)

Answer: 702

For a set of 20 integers, , with equality iff is an AP.

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Question ID VK-003286