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

What is the common difference in an arithmetic sequence?

Back

The common difference (d) is the constant amount that each term increases or decreases by in an arithmetic sequence.

Tags

CCSS.HSF.BF.A.2

Front

Find the common difference: 2, 5, 8, 11, ...

Back

d = 3

Tags

CCSS.HSF.BF.A.2

Front

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

Back

The nth term (a_n) 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.

Tags

CCSS.HSF.BF.A.2

Front

What is the explicit formula for the arithmetic sequence: 4, 7, 10, ...?

Back

y = 4 + 3x

Tags

CCSS.HSF.BF.A.2

Front

Determine if the sequence is arithmetic: 10, 15, 20, 25, ...

Back

Yes, the common difference is 5.

Tags

CCSS.HSF.BF.A.2

Front

Find the 10th term of the sequence if a(1) = 3 and d = 2.

Back

a(10) = 3 + (10-1)2 = 21

Tags

CCSS.HSF.BF.A.2

Front

What is the first term of the sequence: 12, 15, 18, ...?

Back

The first term (a(1)) is 12.

Tags

CCSS.HSF.BF.A.2

Front

If the common difference is negative, what does that indicate about the sequence?

Back

It indicates that the sequence is decreasing.

Tags

CCSS.HSF.BF.A.2

Front

Find the common difference: 50, 45, 40, 35, ...

Back

d = -5

Tags

CCSS.HSF.BF.A.2