Question

What is the difference between explicit and recursive forms of sequences?

a.Explicit and recursive forms are the same thing. They just have two different names.
b.The explicit form is written in terms of the previous term and recursive form is written in terms of the number of the term.
c.The explicit form is written in terms of the number of the term and the recursive form is written in terms of the previous term.
d.You use explicit form if you have to multiply each term by a constant to get the next term, and use recursive form if you have to add a constant to each term to get the next term.

Answer 1

The explicit and recursive forms of sequences differ in how they are written and calculated. The explicit form uses the number of the term, while the recursive form uses the previous term.

Step-by-step explanation:

The difference between explicit and recursive forms of sequences lies in how each form is written and calculated.

The explicit form is written in terms of the number of the term and is used when you can find any term in the sequence without knowing the previous term. An example of an explicit form is an = 2n, where n represents the position of the term in the sequence.

The recursive form, on the other hand, is written in terms of the previous term and requires you to know the initial condition or value to find any term in the sequence. An example of a recursive form is a1 = 1 and an = an-1 + 3, where a1 represents the initial condition and an-1 represents the previous term.

Answer 2

C) The explicit form is written in terms of the number of the term and the recursive form is written in terms of the previous term.