Respuesta :

Answer:

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

Step-by-step explanation:

[tex]a_n = 5+(n-1)2[/tex]

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

Let n be number of terms.

When n = 1,

[tex]a_1= 5+(1-1)2= 5+(0)2=5[/tex]

When n = 2,

[tex]a_2=5+(2-1)2=5+2=7[/tex]

When n = 3,  

[tex]a_3=5+(3-1)2=5+4=9[/tex]

When n = 4,  

[tex]a_4=5+(4-1)2=5+6=11[/tex]

When n = 5,  

[tex]a_5=5+(5-1)2=5+9=13[/tex]

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