Answer:
f(n) = 7n - 4
Step-by-step explanation:
Given the sequence an as;
3, 10, 17, 24, 31...
We are to find the nth term of the sequence.
Since the sequence is arithmetic, the nth term of an arithmetic sequence is expressed as;
an = a + (n - 1)d
a is the first term = 3
d is the common difference = 10 - 3 = 17 -10 = 7
Substitute into the formula;
an = 3 + (n-1) (7)
an = 3 + 7n - 7
an = 7n + 3 - 7
an = 7n - 4
Hence the function that represents the sequence is f(n) = 7n - 4