Question

5, 12, 19, 26, ...

Explanation:

Step1: Identify common difference

$12-5=7$, $19-12=7$, $26-19=7$

Step2: Define nth term formula

For arithmetic sequence: $a_n = a_1 + (n-1)d$, where $a_1=5$, $d=7$

Step3: Simplify the formula

$a_n = 5 + (n-1)\times7 = 5 +7n -7 =7n -2$

Answer:

The nth term of the sequence is $\boldsymbol{7n - 2}$, and the next term (5th term) is $7\times5 -2=33$