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
ser-zykov [4K]
2 years ago
6

Helpppp confused

Mathematics
1 answer:
Sveta_85 [38]2 years ago
5 0

Not an expertise on infinite sums but the most straightforward explanation is that infinity isn't a number.

Let's see if there are anything we missed:

 ∞

 Σ  2^n=1+2+4+8+16+...

n=0

We multiply (2-1) on both sides:

       ∞

(2-1)  Σ  2^n=(2-1)1+2+4+8+16+...

      n=0

And we expand;

 ∞

 Σ  2^n=(2+4+8+16+32+...)-(1+2+4+8+16+...)

n=0

But now, imagine that the expression 1+2+4+8+16+... have the last term of 2^n, where n is infinity, then the expression of 2+4+8+16+32+... must have the last term of 2(2^n), then if we cancel out the term, we are still missing one more term to write:

 ∞

 Σ  2^n=-1+2(2^n)

n=0

If n is infinity, then 2^n must also be infinity. So technically, this goes back to infinity.

Although we set a finite term for both expressions, the further we list the terms, they will sooner or later approach infinity.

Yep, this shows how weird the infinity sign is.

You might be interested in
A rectangular prism has a volume of 729 ft'. The length, width, and height are all the same. What is the length of each side of
german

Answer:

9

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
where does the graph of the function y=tan(x) have asymptotes? at the values of x where cos(x)=0 at the values of x where sin(x)
Gnom [1K]
Answer: at the values where cos(x) = 0

Justification:

1) tan(x) = sin(x) / cos(x).

2) functions have vertical asymptotes at x = a if Limit of the function x approaches a is + or - infinity.

3) the limit of tan(x) approaches +/- infinity where cos(x) approaches 0.

Therefore, the grpah of y = tan(x) has asymptotes where cos(x) = 0.

You can see the asympotes at x = +/- π/2 on the attached graph. Remember that cos(x) approaches 0 when x approaches +/- (n+1) π/2, for any n ∈ N, so there are infinite asymptotes.



7 0
3 years ago
Read 2 more answers
What is 32/48 in SIMPLEST form? PLEASE EXPLAIN THOROUGLY!
kari74 [83]
Hi There!

<span>What is 32/48 in SIMPLEST form?

</span>32÷16=2
48÷16=3

<span>So the answer is </span><span>2/3</span>
7 0
3 years ago
Read 2 more answers
Jose's mom gave him
goldenfox [79]
The flowers cost $12

40.00-10.75=$29.25
$29.25-3.25=$26.00
$26.00-$12.00=14
5 0
2 years ago
Researchers would like to test if the mean bone mineral density is different for the three different groups. Conduct an ANOVA te
laiz [17]

Answer:

<em>H</em>₀: <em>μ₁ = μ₂= μ₃</em>

<em>Hₐ: </em>At least one of the means is different.

Step-by-step explanation:

Analysis of variance or ANOVA test is used to determine whether the means of different groups are similar or not.

The hypothesis of an ANOVA test for <em>n</em> homogeneous groups is:

H_{0}: \mu_{1}= \mu_{2}= \mu_{3}...= \mu_{n}\\H_{a}: At\ least\ one\ of\ the\ means\ is\ different

In this case the researcher is testing whether the mean bone mineral density is different for the three different groups.

The hypothesis for this test can be defined as follows:

<em>H</em>₀: The mean bone mineral density is not different for the three different groups, i.e. <em>μ₁ = μ₂= μ₃</em>

<em>Hₐ: </em>The mean bone mineral density is different for the three different groups, i.e. at least one of the means is different.

3 0
3 years ago
Other questions:
  • Brainliest!!!! Someone help me please!!!!
    10·1 answer
  • James is X years older than Alex. Alex is X years older than Kim. James is twice as old as Kim. Alex is 24. Which of the followi
    14·2 answers
  • You were shopping for a Christmas present. You found the item on sale for 20% off. Tax is 8%. If the original price was $450, ho
    14·1 answer
  • છે કે.what does x equal​
    10·1 answer
  • How many pounds are in 1 ounce?
    11·1 answer
  • HEELLPP plss!!!!!!!!<br><br> Solve
    15·1 answer
  • Hannah paid for 2.5 pounds of peanuts with a ten-dollar bill. She received $1.20 in change from the cashier. What was the price,
    14·1 answer
  • The video streaming service that you want to use is represented with the equation below, where y represents the the total monthl
    11·1 answer
  • What is 5PX7P^3 simplified?
    13·1 answer
  • Math homework help exponents
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!