Progression03: Sum of Odd and Even Numbers

Sum of first n odd numbers

S = \( n^2\)

Number of terms(n), if nth term of odd-number series is \( t_n\) 

n =  \(\dfrac{t_n+1}{2}\)

Sum of first n even numbers

S = n(n+1)

Number of terms(n), if nth term of even-number series is \( t_n\) 

n =  \(\dfrac{t_n}{2}\)