Answer :

To solve this question, find the 4 first terms of the sequence.

The first term is a₁

a₁ is given and a₁ = 7

The second term is a₂

Given:

[tex]a_n=a_{n-1}+5[/tex]

Then, let's find a₂ using the value of a₁

[tex]\begin{gathered} a_2=a_1+5 \\ a_2=7+5 \\ a_2=12 \end{gathered}[/tex]

The third term is a₃

let's find a₃ using the value of a₂

[tex]\begin{gathered} a_3=a_2+5 \\ a_3=12+5 \\ a_3=17 \end{gathered}[/tex]

The fourth term is a₄

let's find a₄ using the value of a₃

[tex]\begin{gathered} a_4=a_3+5 \\ a_4=17+5 \\ a_4=22 \end{gathered}[/tex]

Answer:

The four first terms are:

a₁ = 7

a₃ = 12

a₃ = 17

a₄ = 22