Write anexplicit formula for the following sequence. Find the twentieth term.16, 17, 18, 19, 20, ...

Question

asked Jan 6, 2023 213k views

1 Answer

Shloimy · Answer 1 · 2023-01-10T05:37:11+0000

This is an arithmetic progression.

The first term is a and the common difference is 1.

The n-th term is

$T_(\N)=a+(n-1)d$
$\begin{gathered} T_N=16+(n-1)1 \\ T_N=16+n-1 \\ T_N=15+n \end{gathered}$

To find the 20th term, put in 20 in place of n

$T_(20)=15+20\text{ = 35}$

The 20th term is 35