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Mathematics 14 Online
OpenStudy (anonymous):

I think I have the right answers but I don't know how to do the sigma. My answers are: 1) 3 2) 588 3) 1288 4) 10.64705882 http://www.mathbits.com/caching/PC4782976.html

OpenStudy (dumbcow):

i think 1 is wrong, remember its an absolute value function sum from -2 to 3 = 3+2+1+0+1+2 = 9

OpenStudy (dumbcow):

#2 = 352 not 588

OpenStudy (dumbcow):

#3 = 484

OpenStudy (dumbcow):

#4 = 11

OpenStudy (anonymous):

What does it mean at the bottom, like what do I plug in for n

OpenStudy (dumbcow):

the answers to each problem = (#1^2 +1) + (#2^2 +1) +(#3^2 +1) +(#4^2 +1)

OpenStudy (dumbcow):

how did you come up with your answers? do you know the formulas for arithmetic and geometric sequences

OpenStudy (anonymous):

oh, alright thanks! do you by chance know how to do these? I have been working on them but I think they are wrong. And yes, that's what I used, so I don' know why I was so off.

OpenStudy (dumbcow):

Arithmetic: An = A1 +d(n-1) Sn = (n/2)(A1 +An) Geometric: An = A1*r^(n-1) Sn = A1(r^n -1)/(r-1)

OpenStudy (anonymous):

Yeah, that is what I used...I don't know what I did. Do these make sense? http://mathbits.com/Caching/PC7503125.html

OpenStudy (dumbcow):

yeah First to plot complex numbers, think of the real part as x-axis and imaginary part as y-axis i^2 = -1 to rationalize a denominator, multiply top and bottom by conjugate conjugate to (a+bi) is (a-bi) when you do this the i's cancel out on the bottom

OpenStudy (anonymous):

so it would be 4?

OpenStudy (anonymous):

For those answers I got: 1) 1 2) a=-2 b=1 3)25 4) 4

OpenStudy (dumbcow):

#1 would be quadrant 4 x-positive, y-negative

OpenStudy (dumbcow):

|dw:1325813897466:dw|

OpenStudy (anonymous):

I said 4? Oh I typoed when I typed them all out, I said 4 earlier.

OpenStudy (dumbcow):

for #2, how did get a=-2,b=1 \[\frac{(-2+3i)(1-3i)}{(1+3i)(1-3i)}\]

OpenStudy (anonymous):

So it would be a=7 and b=9?

OpenStudy (dumbcow):

almost, now you are on the right track however the denominator is 10 so think of it as splitting it into 2 fractions a = 7/10, b= 9/10

OpenStudy (anonymous):

oh got it! thanks! are the others right because i cant seem to get the URL

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