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.
Answer:
Step-by-step explanation:
The question has asked who has taken fewer than 15 courses
There are 4 options that are fewer than 15: 10, 8, 8, 13
4/10 (10 is total number of options/students)
To find the percentage you...
Answer:
16cm by 5cm
Step-by-step explanation:
P=2(l+w)
A= wl
80 factorization: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80.
you then would have to find 2 numbers that would add up to make 42.
When you try 16*2+5*2= 32+10= 42 cm as your perimeter.
16*5= 80 cm^2 as your area.
Answer:
thanks thanks thanks thanks thanks for your points
Answer:
The change was 18 ° F
Step-by-step explanation:
We know that:
At noon, the temperature in Tempest, California was 78°F
At midnight the temperature is: 60°F.
To find the temperature drop, subtract the temperature of noon with the temperature at midnight.
<h3>The change was 18 ° F</h3>
