Question

11 15 19 23 27find nth term

Answer 1

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-

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

Substituting the values into the formula as-

`a_n=11+(n-1)4`

Further solving-

`\begin{gathered} a_n=11+4n-4 \\ a_n=4n+7 \end{gathered}`

Final Answer: The nth term of the series is 4n+7.