Question

Hello,May I please request help for number 13 in the uploaded picture? We are to do the following: Write the first four terms of each seequence.

Answer 1

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:

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

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

`\begin{gathered} a_2=a_1+5 \\ a_2=7+5 \\ a_2=12 \end{gathered}`

The third term is a₃

let's find a₃ using the value of a₂

`\begin{gathered} a_3=a_2+5 \\ a_3=12+5 \\ a_3=17 \end{gathered}`

The fourth term is a₄

let's find a₄ using the value of a₃

`\begin{gathered} a_4=a_3+5 \\ a_4=17+5 \\ a_4=22 \end{gathered}`

Answer:

The four first terms are:

a₁ = 7

a₃ = 12

a₃ = 17

a₄ = 22