Answer
Sequence: $1,5,9,13,17,...$
$a_{2}-a_{1}=4$
$a_{3}-a_{2}=4$
$a_{4}-a_{3}=4$
$a_{5}-a_{4}=4$
In the sequence each term is $4$ more than the term preceding it.
Work Step by Step
$a_{n}=4n-3$
$a_{1}=4(1)-3 = 4 -3 = 1$
$a_{2}=4(2)-3 = 8 -3 = 5$
$a_{3}=4(3)-3 = 12 -3 = 9$
$a_{4}=4(4)-3 = 16 -3 = 13$
$a_{5}=4(5)-3 = 20 -3 = 17$
Sequence: $1,5,9,13,17,...$
$a_{2}-a_{1}=5-1=4$
$a_{3}-a_{2}=9-5=4$
$a_{4}-a_{3}=13-9=4$
$a_{5}-a_{4}=17-13=4$
In the sequence each term is $4$ more than the term preceding it.
This sequence is an example of Arithmetic sequence.
