Study the following pattern: ll 1+3 & =2 2 1+3+5 & =3 3 1+3+5+7 &… - Vidyadip

Question

Study the following pattern:
$
\begin{array}{ll}
1+3 & =2 \times 2 \\
1+3+5 & =3 \times 3 \\
1+3+5+7 & =4 \times 4 \\
1+3+5+7+9 & =5 \times 5
\end{array}
$
By ohserving the above pattern, find:
(i) $...+3+5+7+9+11$
(ii) $1+3+5+7+9+11+13+15$
(iii) $21+23+25+\ldots \ldots+51$

✓

Answer

(i) $6 \times 6=36$
(ii) $8 \times 8=64$
(iii) $26 \times 26-10 \times 10$

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