The nth term of an arithmetic sequence is given to be:
[tex]a_n=a_1+(n-1)d[/tex]
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:
[tex]4-1=3[/tex]
Therefore, the parameters for the sequence will be:
[tex]\begin{gathered} a_1=1 \\ d=3 \end{gathered}[/tex]
The next term of the sequence is gotten to be:
[tex]10+3=13[/tex]
Therefore, the next term is 13.
The nth term is gotten using the formula:
[tex]a_n=1+(n-1)3[/tex]
