Question

a_n = a_1 + d(n - 1) use the function rule to determine the 31st term in the given sequence. 3, 7, 11, 15, ... 127 123 94 119

Explanation:

Step1: Identify known values

$a_1=3$, $d=7-3=4$, $n=31$

Step2: Substitute into arithmetic formula

$a_{31}=3 + 4(31-1)$

Step3: Simplify the expression

$a_{31}=3 + 4\times30 = 3 + 120$

Answer:

123