The sequence 38, 44, 50,.... is an arithmetic sequence
The explicit rule of the sequence is an = 32 + 6n
How to determine the explicit formula?
The sequence 38, 44, 50,.... is an arithmetic sequence with the following parameters:
First term, a1 = 38
Common difference, d = 6
The explicit rule is calculated as:
an = a1 + (n - 1) * d
This gives
an = 38 + (n - 1) * 6
Evaluate the product
an = 38 - 6 + 6n
This gives
an = 32 + 6n
Hence, the explicit rule of the sequence is an = 32 + 6n'
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