Question

find a formula for the nth term of the arithmetic sequence. first term 11 common difference 5 ( a_n = ?n + square ) hint: the coefficient of n is the common difference.

Explanation:

Step1: Identify known values

First term $a_1=11$, common difference $d=5$

Step2: Recall arithmetic sequence formula

The general form for the nth term of an arithmetic sequence is $a_n = a_1 + (n-1)d$

Step3: Substitute values into formula

$a_n = 11 + (n-1) \times 5$

Step4: Simplify the expression

$a_n = 11 + 5n - 5 = 5n + 6$

Answer:

$a_n = 5n + 6$