Question

The first three terms of a sequence are given. Write your answer as a decimal or whole number. Round to the nearest thousandth (if necessary).
3, comma, 11, comma, 19, comma, dot dot dot
3,11,19,...
Find the 38th term.
Find the 38th term.

Answer 1

This is an arithmetic sequence with first term 3 and common difference 8. The nth term is a_n = 3 + (n−1)·8. For n = 38:

a_38 = 3 + 37·8 = 3 + 296 = 299.