Question

Can someone look at my answer and let me know if I’m right? The problem is “Write the next term of the sequence. Then write the rule for the n-th term” If I’m wrong what am I doing wrong?I think it’s a1=1 d=7-4=3a10= 1+(10-1)3 =30?Next term is 30?

Answer 1

The nth term of an arithmetic sequence is given to be:

`a_n=a_1+(n-1)d`

where a₁ is the first term and d is the common difference.

From the sequence provided, we can see that the first term is 1 and the common difference is calculated to be:

`4-1=3`

Therefore, the parameters for the sequence will be:

`\begin{gathered} a_1=1 \\ d=3 \end{gathered}`

The next term of the sequence is gotten to be:

`10+3=13`

Therefore, the next term is 13.

The nth term is gotten using the formula:

`a_n=1+(n-1)3`