Question

Express 121 as the sum of 11 odd number​

Answer 1

${\large{\bf{\underbrace{Full \; Solution}}}}$

Solution -

As we all know that 121 is the sum of 11 odd numbers.

Let express that 121 is the sum of 11 odd numbers (Full procedure) –

${\sf{\longrightarrow 1+3+5+7+9+11+13+15+17+19+21}}$

${\sf{\longrightarrow 4+5+7+9+11+13+15+17+19+21}}$

${\sf{\longrightarrow 9+7+9+11+13+15+17+19+21}}$

${\sf{\longrightarrow 16+9+11+13+15+17+19+21}}$

${\sf{\longrightarrow 25+11+13+15+17+19+21}}$

${\sf{\longrightarrow 36+13+15+17+19+21}}$

${\sf{\longrightarrow 49+15+17+19+21}}$

${\sf{\longrightarrow 64+17+19+21}}$

${\sf{\longrightarrow 81+19+21}}$

${\sf{\longrightarrow 100+21}}$

${\sf{\longrightarrow 121}}$

And the above pattern form or present in squares as –

$\: \: \: \: \: \:{\sf{\mapsto 121}}$

$\: \: \: \: \: \:{\sf{\mapsto 11 \times 11}}$

$\: \: \: \: \: \:{\sf{\mapsto 11^{2}}}$

Logic used -

The sum of first odd number is expressed as n²