CBSE BoardEnglish MediumSTD 11 ScienceMathsArithmetic Progressions2 Marks
Question
Find the sun of first $n$ odd natural numbers.
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Answer
The series of $n$ odd natural number are $1, 3, 5, ..., n$
Where $n$ is odd natural number
then, sum of $n$ terms is
$\text{s}_\text{n}=\frac{\text{n}}{2}[2\text{a}+(\text{n}-1)\text{d}]$
$=\frac{\text{n}}{2}[2(1)+(\text{n}-1)(2)]$
$=\text{n}^2$
The sum of n odd natural numbers is $n^2.$
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