All three series converge, so the answer is D.
The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.
Consider a geometric sequence with the first term <em>a</em> and common ratio |<em>r</em>| < 1. Then the <em>n</em>-th partial sum (the sum of the first <em>n</em> terms) of the sequence is
Multiply both sides by <em>r</em> :
Subtract the latter sum from the first, which eliminates all but the first and last terms:
Solve for 
:
Then as gets arbitrarily large, the term 
will converge to 0, leaving us with
So the given series converge to
(I) -243/(1 + 1/9) = -2187/10
(II) -1.1/(1 + 1/10) = -1
(III) 27/(1 + 1/3) = 18
For this case we have that by definition, it is called arcsine (arcsin) from a number to the angle that has that number as its sine.
We must find the 
. Then, we look for the angle whose sine is 
.
We have to, by definition:
So, we have to:
Answer:
Option B
This is actually a trick question if you were to take this question head on. Say for instance you are cutting all the pieces from the same sheet of metal, the equation would NOT be 8 times 5 equals 40 minutes, but rather 7 times 5 equals 35 minutes. this is because on the 7th cut, it takes that from 6 sheets of metal to 8 because you get 2 from that cut. Take for instence, a Hersheys candy bar. It is 3 bars thick, but it only takes 2 breaks to sever the 3 strips. So, that being said, sam will make 7 cuts and those 7 cuts will make a times of 35 minutes.
ANSWER: 1,2,3,4,6,12
EXPLANATION: When a question asks you the factors of a number it is basically just asking you what number are in the multiplication of 12. The numbers all tie in with the number 12 when they are multiplied
EX:
-1 * 12 = 12
-2*6=12
-3*4=12
-6*2=12
Eddie: $10-3=$7
Marsha: $8+$3=$11
