Find or investigate the function as requested.
-Find a function f(n)whose domain is the set of natural numbers and the output produces the terms of the sequence 8, 11, 14, 17, . . .
A)n - 5
B)3n
C)3n - 5
D)3n + 5

Question

Quizplus · Accepted Answer

The given sequence is an arithmetic sequence starting at 8 and increasing by 3 each time. The nth term of an arithmetic sequence is given by $a_n = a_1 + (n - 1)d$, where $a_1$ is the first term and $d$ is the common difference. Here, $a_1 = 8$ and $d = 3$, so $a_n = 8 + (n - 1)3 = 8 + 3n - 3 = 3n + 5$. Therefore, the function that generates this sequence is $f(n) = 3n + 5$.

Find or Investigate the Function as Requested