Write an explicit and a recursive formula for the sequence.
4, 10, 16, 22, 28, ...
Explicit formula:
The pattern in the sequence is that each term is obtained by adding 6 to the previous term. Therefore, the explicit formula for the sequence is given by:
An = 4 + 6(n-1), where n is the position of the term in the sequence.
Recursive formula:
To obtain the next term in the sequence, we can add 6 to the previous term. Therefore, the recursive formula for the sequence is:
A1 = 4 (the first term)
An = An-1 + 6, for n > 1.