The formula that defines the sequence is f(n) = f(n-1) + 4
Recursive function
The recursive function rule is expressed as;
f(n) = f(n-1) + d
where
d is the common difference
Given the following sequence
2, 6, 10, 14, 18..
Determine the common difference
d = 6-2 = 10-6
d = 4
Substitute to have
f(n) = f(n-1) + d
f(n) = f(n-1) + 4
Hence the formula that defines the sequence is f(n) = f(n-1) + 4
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