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SEAMO 2027 - Paper B - SET 12 - Self-study Question 22

SEAMO · SEAMO 2027 - Paper B - SET 12 - Self-study

Question 22

Observe the calculations: \(1+3=4=2^2\); \(1+3+5=9=3^2\); \(1+3+5+7=16=4^2\); \(1+3+5+7+9=25=5^2\). Evaluate \(1+3+5+\cdots+97+99+101+99+97+\cdots+3+1\).

Source note: The printed English block omits the first row, which is present in Vietnamese. Its square notation is printed as baseline digits such as “32”. Here the intended squares are typeset as powers, consistent with the numerical equalities.