Question

Calculati suma
$s_{n}=1+3+5+7+...+(2n+1)$

Answer 1

1=2x0+1
3=2x1+1
5=2x2+1


2n+1=2xn+1
S=2(0+1+2+...+n)+(1+1+1+...+1)=2(n+1)*n/2+(n+1)
S=n(n+1)+(n+1)
S=(n+1)(n+1)
S=(n+1)²