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Mathematics 7 Online
OpenStudy (howard-wolowitz):

MATH TIME!!!

OpenStudy (howard-wolowitz):

OpenStudy (howard-wolowitz):

10.6666 21.3333 42.6666 5.3333

OpenStudy (howard-wolowitz):

Calculate the sum:

OpenStudy (howard-wolowitz):

@freckles

OpenStudy (howard-wolowitz):

@pmkat14

OpenStudy (howard-wolowitz):

@pooja195

OpenStudy (howard-wolowitz):

@asnaseer

OpenStudy (howard-wolowitz):

@Godlovesme

OpenStudy (godlovesme):

sowwyyy idk this stuff :/

OpenStudy (howard-wolowitz):

@radar

OpenStudy (howard-wolowitz):

@mathmath333

OpenStudy (howard-wolowitz):

@phi

OpenStudy (freckles):

hint: \[\sum_{i=2}^{14}128(\frac{1}{4})^i \\ =[\sum_{i=0}^{14}128(\frac{1}{4})^i]-128(\frac{1}{4})^1-128(\frac{1}{4})^0\]

OpenStudy (howard-wolowitz):

freckles thank god ur here

OpenStudy (howard-wolowitz):

work that out?

OpenStudy (freckles):

well for the first term you can use that formula we been using

OpenStudy (freckles):

\[=128 \cdot \frac{1-(\frac{1}{4})^{14}}{1-\frac{1}{4}}-128(\frac{1}{4})-128\] then after you use that formula you can take care of those other differences

OpenStudy (howard-wolowitz):

yeah i got that too

OpenStudy (freckles):

well let's work on that first term there

OpenStudy (freckles):

(1/4)=.25 and (.25)^(14)=?

OpenStudy (freckles):

lol you might not want to use the phone calculator for this

OpenStudy (freckles):

unless you have one those app calculators that might be okay

OpenStudy (freckles):

well whatever you do you do 1-that answer

OpenStudy (freckles):

then divide that by (.75)

OpenStudy (freckles):

you know since 1-.25 is .75

OpenStudy (howard-wolowitz):

it wont work on my cal

OpenStudy (freckles):

hmm... then get a calculator that isn't your phone

OpenStudy (freckles):

or get an app calculator sometimes those are okay

OpenStudy (freckles):

or use this calculator http://www.wolframalpha.com/input/?i=%281-%28.25%29%5E%2814%29%29%2F%28.75%29

OpenStudy (howard-wolowitz):

ok it said 1.3333333333

OpenStudy (freckles):

so you have something close to: \[128(1.3333)-\frac{128}{4}-128\]

OpenStudy (freckles):

and the reason I said close because like before on that one question we are again working with approximations

OpenStudy (howard-wolowitz):

yes

OpenStudy (freckles):

see if you can finish this

OpenStudy (howard-wolowitz):

u know i cant

OpenStudy (howard-wolowitz):

so i got 1.3333 then what?

OpenStudy (freckles):

don't you know order of operations?

OpenStudy (freckles):

do 128 times 1.3333

OpenStudy (freckles):

or @Howard-Wolowitz you can enter what I have above into that calculator website I just gave you

OpenStudy (howard-wolowitz):

i got 170.6624

OpenStudy (freckles):

okay then just take away 128/4 and then from that take away 128

OpenStudy (freckles):

good luck i have to go

OpenStudy (howard-wolowitz):

by take do u mean subtract???

OpenStudy (howard-wolowitz):

@ganeshie8

OpenStudy (howard-wolowitz):

@hartnn

OpenStudy (howard-wolowitz):

Hi I'm still stuck

OpenStudy (howard-wolowitz):

@AdamK

OpenStudy (howard-wolowitz):

@mathmate

OpenStudy (welshfella):

this is a geometric series with first term (1/4)^2 and common difference = 1/4 * 128 so sum = 128 * (1/16) *[ (1/4)^13 - 1] / (1 - 1/4)

OpenStudy (howard-wolowitz):

ok i got as far as getting 1.3333

OpenStudy (welshfella):

* i made an error in last post = it should be / (1/4 - 1)

OpenStudy (welshfella):

what did you do to get 1.3333

OpenStudy (howard-wolowitz):

i didnt that other guy did

OpenStudy (howard-wolowitz):

he also said the answer was 10.6666

OpenStudy (welshfella):

right so multiply this by the first term 1/16 then multiply by 128 and you've got it

OpenStudy (welshfella):

1.3333 * 0.0625 * 128

OpenStudy (welshfella):

( note 1/16 = 0.0625)

OpenStudy (howard-wolowitz):

ok one sec

OpenStudy (howard-wolowitz):

ok i got 10.6664

OpenStudy (welshfella):

right thats option a

OpenStudy (howard-wolowitz):

AWESOME ok next question

OpenStudy (howard-wolowitz):

new thread or no

OpenStudy (welshfella):

sorry gotta go right now

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