Lesson 2: Arithmetic Means and Sum of Arithmetic Sequence

It is a sequence wherein the terms are generated by adding a constant number called common difference.

• Arithmetic Sequence

• Fibonacci Sequence

• Geometric Sequence

• Harmonic Sequence

It is the number to be added to generate the next term in an arithmetic sequence.

• common difference

• first term

• last term

• number of terms

Which of the the following are examples of arithmetic sequence?

• $\frac{1}{4},\frac{1}{2},\frac{3}{4},1$

• $6,11,16,21,...$

• $100,95,90,85,80,75$

• $100,50,25,\ ...$

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

What is the formula for Arithmetic Sequence?

• $a_1=a_n+(n-1)d$

• $a_n=a_1+(n-1)d$

• $a_n=a_1+(1-n)d$

• $a_n=a_1+(n-1)$

There are 7 arithmetic means between a₁ and a₈

• True

• False

Find the missing term in the arithmetic sequence 9, ___, 3.

• 4

• 6

• 5

• 7

Insert 3 arithmetic means in the sequence 10, ___, ___, ___, 130.

• 40, 70, 100

• 30, 60, 90

• 50, 80, 110

• 20, 60, 120

What is the common difference in the arithmetic sequence 35, 32, 29, 26, ...

• 3

• 0

• -3

• $\frac{1}{3}$

Given the arithmetic sequence

32, ___, ___, ___, 68 whose arithmetic means are missing, what is the value of d or the common difference?

• 8

• 10

• 9

• 11

An arithmetic mean is any term that lies between any two consecutive terms of an arithmetic sequence.

• True

• False