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SEAMO 2027 - Paper B - SET 12 - Self-study Question 21

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

Question 21

In mathematics, $1^2=1\times1=1$, $2^2=2\times2=4$, $3^2=3\times3=9$, … . It is observed that $2^2=1^2+3$, $3^2=2^2+5$, $4^2=3^2+7$, $5^2=4^2+9$, …, $21^2=a^2+b$. Find $a+b$.

Continue the displayed pattern of consecutive positive integer squares; the equation is to be read as part of that pattern.