Quiz about Quiz 5.3 Series and Summation

Question 1

This symbol is:

Accepted Answer

sigma

Answer

a funky looking "E"

Answer

theta

Answer

pi

Question 2

A convergent sequence is.......

Accepted Answer

A set of numbers that approach a specific value

Answer

A vertical asymptote

Answer

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

Answer

A set of numbers that stay constant

Question 3

A divergent sequence is.......

Accepted Answer

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

Answer

A vertical asymptote

Answer

A set of numbers that stay constant

Answer

A set of numbers that approach a specific value

Question 4

-21, -16, -11, -6, ...

Is this sequence arithmetic, geometric, or neither?

Accepted Answer

arithmetic (common difference d = 5)

Answer

geometric (common ratio r = 5)

Answer

neither

Question 5

Determine if the series converges or diverges

Accepted Answer

Diverges

Answer

Converges

Question 6

Is this sum finite or infinite?

Accepted Answer

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

Answer

Finite, because there are 4 terms to add up.

Question 7

Which of the following gives the formula for the first 7 terms of the series:

3 + 6 + 12 + 24 +...

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 8

Is the series below converging or diverging?

20 + 10 + 5 + 2.5....

Accepted Answer

Converging because the common ratio is less than 1

Answer

Converging because the common ratio is greater than 1

Answer

Diverging because the common ratio is greater than 1

Answer

Diverging because the common ratio is less than 1

Question 9

Name the given sequence

Accepted Answer

Converge Geometric Series

Answer

Diverge Geometric Series

Answer

Infinite Arithmetic Sequence

Answer

Arithmetic Series

Question 10

The summation is the same as which series?

Accepted Answer

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

Answer

1+2+3+4+5+6+7+8+9+10+11

Answer

4 + 110

Answer

4 + 10

Question 11

Which of the following series that converge.

Accepted Answer

Question 12

Which of the following statement is TRUE.

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 13

Which of the following statement is not true?

Accepted Answer

Sigma notation can only be used for arithmetic series.

Answer

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

Answer

The sum of a geometric series can be negative.

Answer

Question 14

Which of the following series is not a divergent series?

Accepted Answer

Quiz 5.3 Series and Summation

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