Question

Given the Recursive Formula:

a1 = 5
a4 = an−1 +2
What is the common difference?
What is the initial term?
What term is this formula solving for?
What should be in place of the n-1?

Answer 1

a1 = 5
an = a(n-1)+2

What is the common difference? 2
What is the initial term? 5
What term is this formula solving for? a4
What should be in place of the n-1? 4-1 = 3

Answer 2

The common difference is the constant added to each term to get the next term in the sequence. In this case, the common difference is 2.

The initial term, a1, is the first term in the sequence. Given in the question, a1 = 5.

The formula is solving for the nth term in the sequence. It represents a relationship between each term and the previous term.

In place of n-1, there should be a specific term number. For example, if we want to find the 5th term, we would replace n-1 with 5-1 = 4. So, in this case, a4 = a(4-1) + 2.

Answer 3

Yes, you're correct. In this case, the common difference is 2, the initial term is 5, the formula is solving for the term a4, and in place of n-1, you would replace it with 4-1, which is 3.