Answer
Each term is $17$ more than the previous term, meaning add $17$ to get the next term.
The next three terms are: $185, 202$, and $219$
Work Step by Step
Each term is $17$ more than the previous term, meaning add $17$ to get the next term.
We are given the first $5$ terms of this series and are asked for the next three terms, $a_{6}$, $a_{7}$, and $a_{8}$.
To get the $6th$ term, add $17$ to the $5th$ term:
$a_{6} = a_{7} + 17$
Plug in the values as given:
$a_{6} = 168 + 17$
Add:
$a_{6} = 185$
To get the $6th$ term, add $17$ to the $6th$ term:
$a_{7} = a_{6} + 17$
Plug in the values as given:
$a_{7} = 185 + 17$
Add:
$a_{7} = 202$
To get the $6th$ term, add $17$ to the $6th$ term:
$a_{8} = a_{7} + 17$
Plug in the values as given:
$a_{8} = 202 + 17$
Add:
$a_{8} = 219$
