Question

Find the 15th term in the following

arithmetic sequence:
22, 19, 16, 13, . . .
Hint: Write a formula to help you.
1st term + common difference (desired term - 1)
22+ [?]([ ]-1)
Enter the number that belongs in the green box.
Enter

Answer 1

The formula for the nth term in an arithmetic sequence is a + (n-1)d, where a is the first term, d is the common difference, and n is the number of the term you are looking for. In this case, the common difference is -3, since each term is 3 less than the previous term. So the 15th term would be 22 + (-3)(15-1) = 22 - 42 = -20. So the 15th term is -20.