Question

Find a formula for the nth termof the arithmetic sequence.First term -17Common difference 5an=[? ]n +Enter

Answer 1

The nth term of a sequence is given by the formula:

`T_n_{}=a+(n-1)d`

Where

`\begin{gathered} T_n=\text{nth term} \\ a=\text{ first term} \\ n=\text{ number of terms} \\ d=\text{ common difference} \end{gathered}`

From the question given

We are told that the first term is -17

the common difference is 5

We will simply substitute these values into the formula

`T_n=-17+(n-1)*5`

Simplifying

we will have

`\begin{gathered} T_n=-17+5n-5 \\ T_n=5n-17-5 \end{gathered}`

Simplifying further, we will have

`T_n=5n-22`

So If we compare the answer above with what is required in the question, we will have

`a_n=5n-22`

Therefore we will have