Front

What is an arithmetic sequence?

Back

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

Tags

CCSS.HSF.BF.A.2

Front

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

Back

The common difference (d) is found by subtracting any term from the subsequent term: d = a(n+1) - a(n).

Tags

CCSS.HSF.BF.A.2

Front

Is the sequence 37, 31, 25, 19 an arithmetic sequence?

Back

Yes, the common difference is -6.

Tags

CCSS.HSF.BF.A.2

Front

What is the formula for the n-th term of an arithmetic sequence?

Back

The n-th term can be expressed as a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Tags

CCSS.HSF.BF.A.2

Front

Find the 32nd term of the sequence 9, 4, -1, -6, -11.

Back

The 32nd term is -146.

Tags

CCSS.HSF.BF.A.2

Front

What is the common difference of the sequence 29, 21, 13, 5?

Back

The common difference is d = -8.

Tags

CCSS.HSF.BF.A.2

Front

Is the sequence -3, 3, -3, 3 an arithmetic sequence?

Back

No, the difference between terms is not constant.

Tags

CCSS.HSF.BF.A.2

Front

Create the explicit formula for the sequence 2, 8, 14.

Back

The explicit formula is a_n = 6n - 4.

Tags

CCSS.HSF.BF.A.2

Front

What does it mean if a sequence is not arithmetic?

Back

It means that the difference between consecutive terms is not constant.

Tags

CCSS.HSF.BF.A.2

Front

How can you determine if a sequence is arithmetic?

Back

By checking if the difference between consecutive terms is the same.

Tags

CCSS.HSF.BF.A.2