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:
$2.50
Step-by-step explanation:
The cost for the shirt is 35.80
7%=0.07
35.80 x 0.07 = 2.50
Answer is $2.50
25 tickets
I put the information into this equation 5+0.65x=10+0.45x
I solved the equation by first subtracting the 0.45x from both sides to get the variable on one side. I was left with 5+0.20x=10. Then I subtracted the 5 from both sides and got 0.20x=5. Finally I divided both sides by 0.20 to get the X by itself and got X=25
Answer:
X int : 5
Y int : 15
Step-by-step explanation:
y=15
-
3x=15
3/3 15/3
x=5
Answer:
D. 78°
Step-by-step explanation:
50°+28°= 78°
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