Question

Use the arithmetic explicit rule

Answer 1

First five terms are (5, 7, 9, 11, 13)

Explanation:

`a_n = 5+(n-1)2`

Arithmetic explicit rule is given we need to find first five terms.

Let n be number of terms.

When n = 1,

`a_1= 5+(1-1)2= 5+(0)2=5`

When n = 2,

`a_2=5+(2-1)2=5+2=7`

When n = 3,

`a_3=5+(3-1)2=5+4=9`

When n = 4,

`a_4=5+(4-1)2=5+6=11`

When n = 5,

`a_5=5+(5-1)2=5+9=13`

Hence the First five terms are (5, 7, 9, 11, 13)