GATE EC 2026 Set 1 — Question 8
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Question
Let represent the perimeter of a square with sides of length . The value of the expression is __________
Correct answer
(C) 220
Solution
The perimeter of a square with side length is given by the formula:We need to find the value of the sum:Substituting the formula for :Factoring out the constant 4:The sum of the first natural numbers is given by . For :Therefore, the total sum is:Thus, the correct option is (C).
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