Answer:
B. 47
Step-by-step explanation:
The sequence goes up by 2 each time, so to find the nth term, start with 2n.
For n = 1, 2n = 2(1) = 2, but we need 3, so modify to 2n + 1.
For n = 1, 2n + 1 = 2(1) + 1 = 2 + 1 = 3
For n = 2, 2n + 1 = 2(2) + 1 = 4 + 1 = 5
For n = 3, 2n + 1 = 2(3) + 1 = 6 + 1 = 7
Try n = 4 and 5, and you will get 9 and 11, respectively.
2n + 1 works for any term n, where n is natural number.
For the 23rd term, n = 23.
2n + 1 = 2(23) + 1 = 46 + 1 = 47
Answer: B. 47
