Answer: The 31st term is 367
Step-by-step explanation: An arithmetic sequence is derived such that every term is calculated by adding a common difference to the previous term.
The first term has been given as 12. And the value of the nth term shall be defined by the formula
nth term = a(n - 1) + 7. So in order to calculate the unknown term, simply substitute the term for n.
To calculate the 31st term, we apply the formula as follows
nth = a(n - 1) + 7
31st = 12(31 - 1) + 7
31st = 12(30) + 7
31st = 360 + 7
31st = 367
Therefore, the 31st term is 367
