finish the sequence 3, 8, 13, 18, 23 __,___,___

Question

after write me a recursive function for the sequence.
tell me the constant difference of the sequence.
and the explict function for the sequence.

Answer 1

The missing terms in the sequence are 28, 33, 38.

To find the recursive function for the sequence, let's analyze the pattern:
- The first term of the sequence is 3.
- Each subsequent term increases by 5.

Therefore, the recursive function for the sequence can be defined as:
F(n) = F(n-1) + 5, where F(1) = 3.

The constant difference of the sequence is 5. Each term is 5 greater than the previous term.

To find the explicit function for the sequence, we can use the formula for arithmetic sequences. The formula is:
An = A1 + (n-1)d, where An represents the nth term, A1 is the first term, n is the term number, and d is the common difference.

Using this formula, the explicit function for the given sequence is:
An = 3 + (n-1)5, where n represents the term number.