CPhill

3/0, 2/0, 1/0     don't  = 0  ........these are undefined

0/0  is known as "indeterminate"

Can be figured thusly :

 ( [ 32.10/30.00  -  1]  * 100 ) %  =

(  [1.07  -   1[ * 100 ) %  =

( .07  * 100 )  %  =

7%  sales  tax

If the integer is even and the sum of its digits is divsible by 3, then it is divisible by 6.....so...

5+6+7+6+8+8+2  =  42

And 42 is divisible by 3  and 5,676,882 is even...so....it is divisible by 6

<EGC  = <DGF  = 18

<EGC + <BGE  = 90

18 + <BGE  = 90      subtract 18 from both sides

<BGE  = 90 - 18  =  72

8/19, 12/19, 15/19

(3x^-1/2)+(4x^1/2)+(x^3/2)   take out the greatest common factor  x^(-1.2)

x^(-1.2) ( 3 + 4x + x^2) =

x^(-1.2) ( x^2 + 4x + 3) =      factor he trinomial

x^(-1.2) (x + 3) ( x + 1)

Let's work through it again....I assume you want the interest rate ??

Assuming yearly compounding, we're using

4000 = 2000(1 + r)^4      where r is the interest rate in decimal form

Divide both sides by 2000

4000/2000 =   2  =  (1 + r)^4

2  = (1 + r)^4       take the 4th root of both sides

2^(1/4)  = [ ( 1 + r)^4]  ^ (1/4)      the right side simplifies to   1 + r

2^(1/4)  = 1 + r      subtract 1 from both sides

2^(1/4)  - 1 =  r   

1.1892  - 1  = r

.1892  = r  ≈ 18.92%   interest rate

That's OK, DR........maybe MysticalJaycat can provide us with a less "math-intensive" story next time.........

We need to solve this for "N"

1337(1/2)^(N - 1) = 1

(1/2)^(N - 1)  = 1/1337

log (1/2)^(N - 1) = log (1/1337)

(N - 1) log(1/2)  = log(1/1337)

N - 1  =  log (1/1337)/ log (1/2)

N  = log (1/1337)/ log (1/2) + 1 ≈ 11.384

So....the 11th term  is 1337(-1/2)^(10)  ≈ 1.305

And the 12th term is 1337(-1/2)^11  =  -.653

And.....the odd terms from 1 - 11  inclusively  will be positive and > 1....and there are six of these