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nadezda [96]
4 years ago
10

(a) What is the difference between a sequence and a series? A series is an ordered list of numbers whereas a sequence is the sum

of a list of numbers. A sequence is an ordered list of numbers whereas a series is an unordered list of numbers. A sequence is an unordered list of numbers whereas a series is the sum of a list of numbers. A series is an unordered list of numbers whereas a sequence is the sum of a list of numbers. A sequence is an ordered list of numbers whereas a series is the sum of a list of numbers. (b) What is a convergent series? What is a divergent series? A series is convergent if the nth term converges to zero. A series is divergent if it is not convergent. A convergent series is a series for which lim n → ∞ an exists. A series is convergent if it is not divergent. A series is divergent if the nth term converges to zero. A series is convergent if it is not divergent. A series is divergent if the sequence of partial sums is a convergent sequence. A series is convergent if it is not divergent. A series is convergent if the sequence of partial sums is a convergent sequence. A series is divergent if it is not convergent.
Mathematics
2 answers:
Kruka [31]4 years ago
8 0

Answer:

See below.

Step-by-step explanation:

(a)  A sequence is an ordered list of numbers whereas a series is the sum of a list of numbers.

(b) A series is convergent if the sequence of partial sums is a convergent sequence (that is tends to a limit).  A series is divergent if it is not convergent.

trapecia [35]4 years ago
6 0

Answer:

  • (a) A sequence is an ordered list of numbers whereas a series is the sum of a list of numbers.
  • (b) A series is divergent if the sequence of partial sums is a convergent sequence. A series is divergent if it is not convergent.

Step-by-step explanation:

A sequence is a list of ordered numbers. For example, 1, 2, 3, 4, 5.... is a sequence. The numbers are listed in a specific order when we count. In contrast, a series is the sum of the numbers in a sequence. For this multiple choice, choose the best answer that defines what a sequence is.

(a) What is the difference between a sequence and a series?

  • A series is an unordered list of numbers whereas a sequence is the sum of a list of numbers.
  • A sequence is an ordered list of numbers whereas a series is the sum of a list of numbers.
  • A series is an ordered list of numbers whereas a sequence is the sum of a list of numbers.
  • A sequence is an ordered list of numbers whereas a series is an unordered list of numbers.
  • A sequence is an unordered list of numbers whereas a series is the sum of a list of numbers.

When working with sequences and series, we look at what happens at negative and positive infinity. When a series converges, it approaches a finite number. When a series diverges, it does not approach a finite number but infinity.

(b) What is a convergent series? What is a divergent series?

  • A series is divergent if the nth term converges to zero. A series is convergent if it is not divergent.
  • A series is convergent if the nth term converges to zero. A series is divergent if it is not convergent.
  • A convergent series is a series for which lim n → ∞ an exists. A series is convergent if it is not divergent.
  • A series is convergent if the sequence of partial sums is a convergent sequence. A series is divergent if it is not convergent.
  • A series is divergent if the sequence of partial sums is a convergent sequence. A series is divergent if it is not convergent.
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PIT_PIT [208]
Here, I am not sure, try this.

5 0
3 years ago
The combined math and verbal scores for students taking a national standardized examination for college admission, is normally d
kipiarov [429]

Answer:

The minimum score that such a student can obtain and still qualify for admission at the college = 660.1

Step-by-step explanation:

This is a normal distribution problem, for the combined math and verbal scores for students taking a national standardized examination for college admission, the

Mean = μ = 560

Standard deviation = σ = 260

A college requires a student to be in the top 35 % of students taking this test, what is the minimum score that such a student can obtain and still qualify for admission at the college?

Let the minimum score that such a student can obtain and still qualify for admission at the college be x' and its z-score be z'.

P(x > x') = P(z > z') = 35% = 0.35

P(z > z') = 1 - P(z ≤ z') = 0.35

P(z ≤ z') = 1 - 0.35 = 0.65

Using the normal distribution table,

z' = 0.385

we then convert this z-score back to a combined math and verbal scores.

The z-score for any value is the value minus the mean then divided by the standard deviation.

z' = (x' - μ)/σ

0.385 = (x' - 560)/260

x' = (0.385×260) + 560 = 660.1

Hope this Helps!!!

8 0
4 years ago
Please help me!!!!!!!! Factor z2 – 3z – 18
Vladimir [108]
First, the factor pairs for 18 are:
1, 18
2, 9
3, 6

Since the middle term is -3, the two factors must be 3 apart. The only pair that is 3 values apart is 3, 6.
Since the middle value is negative, the larger number is negative. This means that the 6 is negative.
z = -6
z = 3

Set each equal to 0;
z = -6
z + 6 = 0

z = 3
z - 3 =0
So your factors are (z+6) and (z-3), or answer B.
4 0
3 years ago
What is the answer to x-2=7
saul85 [17]

x-2=7

apply additon property of equality

x-2+2=7+2

x=9

6 0
3 years ago
A manufacturing plant earned $80 per man-hour of labor when it opened. Each year, the plant earns an additional 5% per man-hour.
baherus [9]

A function that gives the amount that the plant earns per man-hour t years after it opens is \mathrm{A}(\mathrm{t})=80 \times 1.05^{\mathrm{t}}

<h3><u>Solution:</u></h3>

Given that  

A manufacturing plant earned $80 per man-hour of labor when it opened.

Each year, the plant earns an additional 5% per man-hour.

Need to write a function that gives the amount A(t) that the plant earns per man-hour t years after it opens.  

Amount earned by plant when it is opened = $80 per man-hour

As it is given that each year, the plants earns an additional of 5% per man hour

So Amount earned by plant after one year = $80 + 5% of $80 = 80 ( 1 + 0.05) = (80 x 1.05)

Amount earned by plant after two years is given as:

=(80 \times 1.05)+5 \% \text { of }(80 \times 1.05)=(80 \times 1.05)(1.05)=80 \times 1.052

Similarly Amount earned by plant after three years =80 \times 1.05^{t}

\begin{array}{l}{\Rightarrow \text { Amount earned by plant after } t \text { years }=80 \times 1.05^{t}} \\\\ {\Rightarrow \text { Required function } \mathrm{A}(t)=80 \times 1.05^{t}}\end{array}

Hence a function that gives the amount that the plant earns per man-hour t years after it opens is \mathrm{A}(t)=80 \times 1.05^{t}

5 0
3 years ago
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