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How does Infinity work?
by
Silver Shield
August 14, 2020
Like
1
440
views
5
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A little quiz/lesson on infinity and how it breaks common sense. Starting off fairly simple, before getting weird.
1
What is the sum of this pattern?: 1-1/2-1/4-1/8-1/16-1/32... (All fractions are negative, continuing ad infinitum)
1/2
~.693
~1.04
0
2
What is the sum of this pattern?: 1-1/2-1/3-1/4-1/5-1/6-1/7-1/8... (All fractions are negative, continuing ad infinitum)
1/2
~.693
~1.04
0
3
What is the sum of this pattern?: 1-1/2+1/3-1/4+1/5-1/6+1/7-1/8... (All odd fractions are positive, all even fractions are negative, continuing ad infinitum)
1/2
~.693
0
~1.04
4
What is the sum of this pattern?: 1+1/3-1/2+1/5+1/7-1/4+1/9+1/11-1/6... (All odd fractions are positive, all even fractions are negative, continuing ad infinitum)
1/2
~.693
0
~1.04
5
Which range of numbers contains more unique values?
Between 0 and 1, including 0 and 1
Between 0 and 1, not including 0 or 1
Between 0 and 1, including 0 but not 1
Between -∞ and ∞
Between -∞ and ∞, not including odd numbers
They are all the same
6
Starting with 1, we remove 1/3 of it. Then, we remove 1/3 of the result of that. Then remove 1/3 of the result of that, ad infinitum. How much of the original 1 is ultimately removed?
1
0.999999
An infinite amount, but without ever removing all of it
All of the above
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4/5
Carmen Gumshoe
i did my best
Like
1
August 14, 2020
Silver Shield
It doesn't make sense and is mostly useless information anyways :3
Like
0
August 14, 2020
Ice Wisp
Yeah we get it, you went to college
Like
0
August 14, 2020
Silver Shield
Youtube college
Like
0
August 14, 2020
Ice Wisp
Stinky college
Like
0
August 14, 2020
Vy Thresh
What's the pattern on 4? I guess I glanced over it too quickly XD
Like
0
August 14, 2020
Silver Shield
It's the same numbers as 3, ordered from highest to lowest absolute value, except it goes positive-positive-negative-positive-positive-negative, instead of positive-negative-positive-negative
Like
1
August 14, 2020
Deleted Account
I dont know what tilde means in math ;w;
Like
1
August 19, 2020
Vy Thresh
iirc it means approximately
Like
1
August 19, 2020