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:
$896
Step-by-step explanation:
We are given that
Charge of 1 yard for each custom-made banner=$28
Length of 1 piece=15 yards
Length of another piece=2 yards
We have to find that how much money payed by Ms.Gill for all three banners.
According to question
Cost of 15 yards long banner=$420
Cost of 2 piece of 15 yards long banner==$840
Cost of 2 yards long banner==$56
Total cost of 3 piece of banners=840+56=$896
Hence, Ms gill pay for all three banners=$896
Your Welcome;)
Answer:
∠a and ∠d; ∠b and ∠c
Step-by-step explanation:
The two triangles as similar triangles and the scale factor is 2 : 1
The sides measuring 6 and 3 are corresponding sides
The sides measeuring 8 and 4 are ocrreposnding sides
⇒ ∠a and ∠d are corresponding angles
The sides measuring 8 and 4 are corresponding sides
The sides measeuring 4 and 2 are ocrreposnding sides
⇒ ∠b and ∠c are corresponding angles
8x-19=-3x-41
+3x +3x
11x-19=-41
+19 +19
11x=-22
÷11 ÷11
x=-2
Answer:
1/1
Step-by-step explanation:
100/100=1/1=1
