Question

For the sequence: a_n=20/n+1its first term is: its second term is: its third term is: its fourth term is: its 100th term is:

Answer 1

The n-term of the sequence is

$a_n=\frac{20}{n+1}$

If we want the first term, we do n = 1, then

$\begin{gathered} a_1=\frac{20}{1+1}=\frac{20}{2}=10 \\ \end{gathered}$

The second term will be n = 2

$a_2=\frac{20}{2+1}=\frac{20}{3}$

The third term

$a_3=\frac{20}{3+1}=\frac{20}{4}=5$

The fourth term

$a_4=\frac{20}{4+1}=\frac{20}{5}=4$

And the 100th term

$a_{100}=\frac{20}{100+1}=\frac{20}{101}$