finish the sequence 3, 8, 13, 18, 23 __,___,___
after write me a recursive function for the sequence.
tell me the constant difference of the sequence.
and the explict function for the sequence.
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.