10/23 Lesson 11-3 Arithmetic Sequences as Functions

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. This difference is called the common difference.

Front

How do you find the common difference in an arithmetic sequence?

Back

The common difference can be found by subtracting any term from the subsequent term. For example, in the sequence 1, 4, 7, 10, the common difference is 4 - 1 = 3.

Front

What is the formula for the nth term of an arithmetic sequence?

Back

Front

Given the sequence 11, 23, 35, 47, what is the common difference?

Back

The common difference is 12, calculated as 23 - 11.

Front

What is the nth term of the sequence 1, 4, 7, 10?

Back

Front

How can you express an arithmetic sequence as a function?

Back

An arithmetic sequence can be expressed as a function by defining f(n) = a_1 + (n - 1)d, where a_1 is the first term and d is the common difference.

Front

What is the first term of the arithmetic sequence 6.5, 9, 11.5, 14?

Back

The first term is 6.5.

Front

What is the function for the arithmetic sequence 11, 23, 35, 47?

Back

Front

What does the term 'nth term' refer to in an arithmetic sequence?

Back

The 'nth term' refers to the term at position n in the sequence, which can be calculated using the formula for the nth term.

Front

What is the common difference in the sequence 1, 4, 7, 10?

Back

The common difference is 3.