Question

Determine os 5 primeiros termos das sequencias definidas por: (Preciso muito da resposta ficaria grato)

Answer 1

Explicação passo-a-passo:

a) $\sf a_n=\dfrac{n^2}{n+1}$

• $\sf a_1=\dfrac{1^2}{1+1}\rightarrow~\red{a_1=\dfrac{1}{2}}$

• $\sf a_2=\dfrac{2^2}{2+1}\rightarrow~\red{a_2=\dfrac{4}{3}}$

• $\sf a_3=\dfrac{3^2}{3+1}\rightarrow~\red{a_3=\dfrac{9}{4}}$

• $\sf a_4=\dfrac{4^2}{4+1}\rightarrow~\red{a_4=\dfrac{16}{5}}$

• $\sf a_5=\dfrac{5^2}{5+1}\rightarrow~\red{a_5=\dfrac{25}{6}}$

b) $\sf a_n=2n+5$

• $\sf a_1=2\cdot1+5~\rightarrow~a_1=2+5~\rightarrow~\red{a_1=7}$

• $\sf a_2=2\cdot2+5~\rightarrow~a_2=4+5~\rightarrow~\red{a_2=9}$

• $\sf a_3=2\cdot3+5~\rightarrow~a_3=6+5~\rightarrow~\red{a_3=11}$

• $\sf a_4=2\cdot4+5~\rightarrow~a_4=8+5~\rightarrow~\red{a_4=13}$

• $\sf a_5=2\cdot5+5~\rightarrow~a_5=10+5~\rightarrow~\red{a_5=15}$