Inequality and interval notation & arithmetic sequences

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does interval notation represent?

Back

Interval notation is a way of writing subsets of the real number line using intervals, which can be open, closed, or half-open.

Tags

CCSS.6.EE.B.8

Front

What is the difference between open and closed intervals?

Back

An open interval (a, b) does not include its endpoints a and b, while a closed interval [a, b] includes both endpoints.

Tags

CCSS.HSA.CED.A.3

Front

How do you write the inequality x > 5 in interval notation?

Back

(5, ∞)

Tags

CCSS.6.EE.B.8

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 is the constant amount that each term increases or decreases by in an arithmetic sequence.

Tags

CCSS.HSF.BF.A.2

Front

How do you find the nth term of 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.

Tags

CCSS.HSF.BF.A.2

Front

What is the common difference of the sequence 3, 7, 11, 15?

Back

4

Tags

CCSS.HSF.BF.A.2

Front

Write the inequality x ≤ 3 in interval notation.

Back

(-∞, 3]

Tags

CCSS.6.EE.B.8

Front

What is the 10th term of the arithmetic sequence 2, 5, 8, 11?

Back

29

Tags

CCSS.HSF.BF.A.2