1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
andrew-mc [135]
2 years ago
14

Prove that every bounded increasing sequence is convergent

Mathematics
1 answer:
aleksklad [387]2 years ago
4 0
The proof of this can be get with a slight modification. It can be prove that every bounded is convergent, If (an) is an increasing and bounded sequence, then limn → ∞an = sup{an:n∈N} and if (an) is a decreasing and bounded sequence, then limn→∞an = inf{an:n∈N}.
You might be interested in
The formula A equals =P left parenthesis 1 plus r right parenthesis squared (1+r)2 gives the amount A in dollars that P dollars
vlabodo [156]
The interest rate is 3.5%.

EXPLANATION

We substitute the given values into the formula;

A=P(1+\frac{r}{100})^t

to obtain

6427.35=6000(1+\frac{r}{100})^2

We divide through by 6000 to obtain,

\frac{6427.35}{6000}=(1+\frac{r}{100})^2

This implies that,

1.071225=(1+\frac{r}{100})^2

We take the square root of both sides,

\sqrt{1.071225}=(1+\frac{r}{100})

This gives us,

1.035=(1+\frac{r}{100})

Add -1 to both sides of the equation to obtain

0.035=\frac{r}{100}

Multiply through by 100 to obtain;

r=3.5%

Therefore the rate is 3.5%
3 0
3 years ago
The high for a winter day in Sitka,
m_a_m_a [10]

Answer:

The maximum temperature will be -10°C, then if T represents the temperature, we can write this as:

T ≤ -10°C

And the minimum temperature will be -25°C, then we must have that:

T ≥ -25°C

if we use both conditions, we will have:

-25°C ≤ T ≤ -10°C

We can write this range:

[-25°C, -10°C]

Where the [] symbols mean that the extremes are possible temperatures.

The length of the range will be:

-10°C - 25°C = 15°C.

3 0
3 years ago
What is the algebraic expression for the following word phrase the sum of 7w and 5
just olya [345]

The sum is the result of adding two or more numbers.

If one number is 7w and another number is 5, then the sum is

7w+5.

Answer: the algebraic expression for the word phrase the sum of 7w and 5 is 7w+5.

5 0
3 years ago
Read 2 more answers
Explain the steps for dividing decimals. Write three or four sentences.
SVETLANKA909090 [29]

Answer:

Step-by-step explanation:

Move the decimal point in the divisor and dividend.

Turn the divisor (the number you’re dividing by) into a whole number by moving the decimal point all the way to the right. At the same time, move the decimal point in the dividend (the number you’re dividing) the same number of places to the right.

Place a decimal point in the quotient (the answer) directly above where the decimal point now appears in the dividend.

Divide as usual, being careful to line up the quotient properly so that the decimal point falls into place.

Line up each digit in the quotient just over the last digit in the dividend used in that cycle.

4 0
3 years ago
Read 2 more answers
What’s the answers for this?
marshall27 [118]

I cant see it is too blurrry

6 0
2 years ago
Other questions:
  • Which expressions show repeated multiplication? Check all that apply.
    9·2 answers
  • There are 26 students at Williams math class the mean height of the student is 160 cm and the median height is 156 cm to inch aq
    6·1 answer
  • A=3 and b= 4 what does b^a=
    11·1 answer
  • NEEDED ASAP
    10·1 answer
  • Factor 10x^5-16x^4+4x^2
    6·1 answer
  • What is the standard deviation of the data set? 7, 3, 4, 2, 5, 6, 9 Round the answer to the tenths place.
    6·2 answers
  • The probability of a getting a new sales contract with any given client is 0.29. A sales representative works with 18 clients th
    15·1 answer
  • In order to join gymnastics after school, there is $75 on-time fee and $30 monthly fee. Which slope-intercept from equation mode
    13·1 answer
  • A rotating sprinkler that sprays water at a radius of 7 feet is used to water a lawn. Determine the area of the lawn that is bei
    12·1 answer
  • A local boys club sold 136 bags of mulch and made a total of $538. It sold two types of mulch: hardwood for $4.25 a bag and pine
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!