Question

1) Escreve por extenso parte da sequência definida pela

fórmula n² + 1, n ∈ N.

( a1, a2, a3, a4, a5,....) →​

Answer 1

$\boxed{a_n=n^2+1}$

$a_1=1^2+1\ \therefore\ \boxed{a_1=2}\\\\a_2=2^2+1\ \therefore\ \boxed{a_2=5}\\\\ a_3=3^2+1\ \therefore\ \boxed{a_3=10}\\\\ a_4=4^2+1\ \therefore\ \boxed{a_4=17}\\\\ a_5=5^2+1\ \therefore\ \boxed{a_5=26}$

$(a_1,a_2,a_3,a_4,a_5,\dots)=\boxed{(2,5,10,17,26,\dots)}$