Arithmetic Means

What is the arithmetic mean between 3y and – 5y ?

• y

• - y

• 2y

• y/2

Answer explanation

The arithmetic mean of 3y and -5y is calculated as (3y + (-5y)) / 2 = (-2y) / 2 = -y. Thus, the correct answer is -y.

Tags

CCSS.6.EE.B.5

Find the missing terms in the arithmetic sequence _____, - 1, _____, 3

• 0 then 1

• - 2 then 1

• - 2 then 0

• - 3 then 1

Answer explanation

In the arithmetic sequence, the common difference is 2. Starting from -1, the term before it is -3 and the term after it is 1. Thus, the missing terms are -3 then 1.

Tags

CCSS.HSF.BF.A.2

Insert [1] arithmetic mean between - 8 and 4.

• 14

• - 2

• 0

• 6

Answer explanation

To find the arithmetic mean of -8 and 4, add them together: -8 + 4 = -4. Then divide by 2: -4 / 2 = -2. Thus, the arithmetic mean is -2.

What are the missing terms in the arithmetic sequence 44, ___, ___, ___, 12 ?

• 20, - 28, 36

• 36, 28, - 20

• 36, 28, 20

• 20, 28, 36

Answer explanation

To find the missing terms in the sequence, calculate the common difference. The difference between 44 and 12 is -32, divided by 4 gives -8. Thus, the terms are 36, 28, and 20, making the correct choice 36, 28, 20.

Tags

CCSS.HSF.BF.A.2

The terms in between the two given terms of an arithmetic sequence.

• arithmetic means

• geometric means

• harmonic means

Tags

CCSS.HSF.BF.A.2

What are two arithmetic means in between 21 and 72?

Insert four arithmetic means between 1 and 16.

Tags

CCSS.HSF.BF.A.2

What is the arithmetic mean of 28 and 46?

Tags

CCSS.7.EE.B.3

What is the arithmetic mean between 9 and -3 ?

• 3

• -3

• 6

• -6

Insert three arithmetic means between 22 and 42.

• 24, 29 34

• 25, 30, 35

• 26, 31, 36

• 27, 32, 37

Tags

CCSS.HSF.BF.A.2