INT 3 - Lesson 6.4

Front

What is a recursive formula?

Back

A recursive formula defines the terms of a sequence using previous terms, allowing for the calculation of subsequent terms based on earlier ones.

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant, known as the common difference.

Front

What is the common difference in an arithmetic sequence?

Back

The common difference is the fixed amount added to each term to get the next term in the sequence.

Front

How do you denote the first term in a recursive formula?

Back

The first term is denoted as b of 1.

Front

What does 'b of n' represent in a recursive formula?

Back

'b of n' represents the nth term of the sequence.

Front

What is the purpose of the common difference in a recursive formula?

Back

The common difference is added to the previous term to find the next term in the sequence.

Front

Can you use any letter to name a sequence in a recursive formula?

Back

Yes, you can use any letter to name the sequence.

Front

What is the first term in the sequence if the first term is given as 5?

Back

The first term in the sequence is 5.

Front

If the common difference is 3, what is the second term if the first term is 5?

Back

The second term is 8 (5 + 3).

Front

How do you find the nth term in an arithmetic sequence?

Back

The nth term can be found using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.