Answer :
The function for the sequence 206,210,214,218,... is f(n) = 206 + 4(n - 1)
Finding the explicit rule for the sequence
From the question, we have the following parameters that can be used in our computation:
206,210,214,218,...
In the above sequence, we can see that 4 is added to the previous term to get the new term
This means that
First term, a = 206
Common difference, d = 4
The nth term is then represented as
f(n) = a + (n - 1) * d
Substitute the known values in the above equation, so, we have the following representation
f(n) = 206 + 4(n - 1)
Hence, the explicit rule is f(n) = 206 + 4(n - 1)
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