# How do you write the first five terms of the sequence a_n=5n-3?

May 20, 2018

See below

#### Explanation:

Put in $n$ the natural number that indicate his order

a_1=5·1-3=2

a_2=5·2-3=7

a_3=5·3-3=12

a_4=5·4-3=17

a_5=5·5-3=22

Note that each term obteined has a constant difference of 5

$2 + 5 = 7$
$7 + 5 = 12$ and so on

Is an arithmetic sequence with first term 2 and difference 5