1.

Let  A = {1, a1, a2...... a18, 77} be a set of integers with 1 < a1 < a2 <..... < a18 < 77. Let the set A + A = {x + y : x,y ∈ A} contain elements. Then, the value of a1 + a2 + ..... + a18 is equal to _____.

Answer»

Correct answer is 702

a1 , a2 , a3 ,..., a18, 77

are in AP i.e. 1, 5, 9, 13, ..., 77.

Hence a1 + a2 + a3 +...+ a18 = 5 + 9 + 13 +...18 terms 

= 702



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