Given: A series 11,15,19,23,27,...
Required: To determine the nth term.
Explanation: The given series is an arithmetic progression with the first term, a=11, and the common difference, d=4.
The formula gives the nth term of an AP-
[tex]a_n=a+(n-1)d[/tex]Substituting the values into the formula as-
[tex]a_n=11+(n-1)4[/tex]Further solving-
[tex]\begin{gathered} a_n=11+4n-4 \\ a_n=4n+7 \end{gathered}[/tex]Final Answer: The nth term of the series is 4n+7.
