-21, -16, -11, -6, ... Is this sequence arithmetic , geometric , or neither ?

arithmetic (common difference d = 5 )

Is this sum finite or infinite?

Infinite, because there are an infinite amount of terms to add up (m goes from 1 to infinity).

Finite, because there are 4 terms to add up.

Is the series below converging or diverging? 20 + 10 + 5 + 2.5....

Converging because the common ratio is less than 1

Converging because the common ratio is greater than 1

Diverging because the common ratio is greater than 1

Diverging because the common ratio is less than 1

The summation is the same as which series?

(4+10) + (4+20) + (4+30) + (4+40) + (4+50) + (4+60) + (4+70) + (4+80) + (4+90) + (4+100) + (4+110)

Which of the following statement is TRUE.

If the partial sums of a sequence form an arithmetic sequence, then the original sequence must be constant.

A convergent infinite geometric series always has a sum less than 1.

If two different series have the same sum, then their corresponding terms must be equal.

The process of finding a closed-form expression for a finite summation is always possible using algebraic manipulation.

Quiz 5.3 Series and Summation

Quiz

•

Mathematics

•

11th Grade

•

Practice Problem

•

Medium

•

CCSS

HSF.BF.A.2, HSA.SSE.B.4, HSA.SSE.A.1

+2

Standards-aligned

Kathy Binondo

Used 7+ times

FREE Resource

42 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

This symbol is:

a funky looking "E"

theta

pi

sigma

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write an explicit formula for a_n, the nth term of the sequence 9, 13, 17, ...

a_n = 9 + 4(n-1)

a_n = 9 - 4(n-1)

a_n = 9 + 4(n)

a_n = 9 * 4^n-1

Tags

CCSS.HSF.BF.A.2

3.

FILL IN THE BLANK QUESTION

1 min • 1 pt

In a geometric sequence, what does r represent?

Tags

CCSS.HSF.BF.A.2

4.

MATH RESPONSE QUESTION

2 mins • 1 pt

Find the common ratio of the geometric sequence 11, -55, 275,...

Mathematical Equivalence

ON

Tags

CCSS.HSF.BF.A.2

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write an explicit formula for a_n, the nth term of the sequence 63, -21, 7, ...

a_n = 63 - 84(n-1)

a_n = 63 * (1/3)^n-1

a_n = 63 * (-1/3)^n-1

a_n = 63 * (-3)^n-1

Tags

CCSS.HSF.BF.A.2

6.

FILL IN THE BLANK QUESTION

5 mins • 1 pt

The series is written in summation notation, what is the value of the term when the index, k, equals 3?

Tags

CCSS.HSA.SSE.B.4

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A convergent sequence is.......

A vertical asymptote

A set of numbers that don't approach a specific value

A set of numbers that stay constant

A set of numbers that approach a specific value

Tags

CCSS.HSF.BF.A.2

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Quiz 5.3 Series and Summation

42 questions

This symbol is:

Write an explicit formula for a_n, the nth term of the sequence 9, 13, 17, ...

In a geometric sequence, what does r represent?

Find the common ratio of the geometric sequence 11, -55, 275,...

Write an explicit formula for a_n, the nth term of the sequence 63, -21, 7, ...

The series is written in summation notation, what is the value of the term when the index, k, equals 3?

A convergent sequence is.......

A divergent sequence is.......

Find the sum for the following series.

Find the sum for the following series.

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Quiz 5.3 Series and Summation

42 questions

This symbol is:

Write an explicit formula for an​, the nth term of the sequence 9, 13, 17, ...

In a geometric sequence, what does r represent?

Find the common ratio of the geometric sequence 11, -55, 275,...

Write an explicit formula for an​, the nth term of the sequence 63, -21, 7, ...

The series is written in summation notation, what is the value of the term when the index, k, equals 3?

A convergent sequence is.......

A divergent sequence is.......

Find the sum for the following series.

Find the sum for the following series.

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Write an explicit formula for a_n, the nth term of the sequence 9, 13, 17, ...

Write an explicit formula for a_n, the nth term of the sequence 63, -21, 7, ...