-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.

Which of the following gives the formula for the first 7 terms of the series: 3 + 6 + 12 + 24 +...

$$3\left(\frac{1-\left(2\right)^7}{1-2}\right)$$

$$2\left(\frac{1-\left(3\right)^7\ }{1-2}\right)$$

$$\frac{7}{2}\left(2+15\right)$$

$$\frac{7}{2}\left(3+192\right)$$

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.

Which of the following statement is not true?

Sigma notation can only be used for arithmetic series.

An alternating series with decreasing terms and a limit of zero always converges.

The sum of a geometric series can be negative.

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, ...