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Mathematics 8 Online
OpenStudy (anonymous):

help please! (:

OpenStudy (anonymous):

OpenStudy (anonymous):

@agent0smith Heyyyy! (: can you help me please!?

OpenStudy (anonymous):

sorry i was looking and i dont know :(

OpenStudy (anonymous):

its okay! thanks anyways! (: @nova2528

OpenStudy (anonymous):

u need help with anythin else tho i might know somethin that you need help with

OpenStudy (agent0smith):

Find the common ratio, by dividing one number by the number before it.

OpenStudy (anonymous):

ok i got .24 as a common ratio but idk what to do after that @agent0smith

OpenStudy (anonymous):

ok then what! @johnweldon1993

OpenStudy (agent0smith):

^that's for finding the sum @johnweldon1993 we just want the 10th term.

OpenStudy (johnweldon1993):

Just realized that -_- sorry about that!! could have sworn I saw sum!

OpenStudy (anonymous):

oh so what do i do then?… :O

OpenStudy (agent0smith):

\[\Large a_n = a_1 r^{n-1}\]r is the common ratio (0.25), a1 is the first term (first number in the sequence), n would be 10 for the 10th term

OpenStudy (anonymous):

alright lemme try and solve it! (:

OpenStudy (anonymous):

ummmmmm i got a really big number :I

OpenStudy (johnweldon1993):

make sure you're putting .25 for 'r' not just 25 :)

OpenStudy (agent0smith):

\[\Large a_{10} = a_1 (0.25)^{10-1}\] a1 is the first term, which is....?

OpenStudy (anonymous):

64!

OpenStudy (anonymous):

i plugged it all in like you said and i got a huge number and idk why! :/

OpenStudy (anonymous):

@agent0smith

OpenStudy (agent0smith):

Show me what you are plugging in.

OpenStudy (agent0smith):

Because anytime you multiply a number that is between 0 and 1 by itself, the result is always a smaller number eg. 0.5*0.5 = 0.25, which is smaller than 0.5 0.1*0.1 = 0.01, which is clearly smaller than 0.1

OpenStudy (anonymous):

i did everything you said :(

OpenStudy (agent0smith):

SHOW me what you're plugging in, exactly as typed into the calculator.

OpenStudy (agent0smith):

@emma97

OpenStudy (anonymous):

well i simplified the 10-1 first and then just solved it like regular. ugh I'm so behind and confused.

OpenStudy (agent0smith):

Just show me what you plugged in. Type it.

OpenStudy (anonymous):

64*(.25)^9

OpenStudy (agent0smith):

And your answer?

OpenStudy (agent0smith):

@emma97

OpenStudy (anonymous):

2.44140625E^-5

OpenStudy (agent0smith):

That is not a huge number. E means x10 2.44140625 x 10^-5 is a small number.

OpenStudy (anonymous):

ok well idk what the heck I'm doing. so I'm guessing its C?

OpenStudy (agent0smith):

64 is 4^3, so\[\Large 64*(\frac{ 1 }{ 4})^9 = 4^3 * \frac{ 1 }{4^9 } =\] \[\Large = \frac{ 4^3 }{ 4^9 } = ?\] use exponent laws^

OpenStudy (anonymous):

oh my word i suck at this.

OpenStudy (anonymous):

its 1/4096 right?

OpenStudy (agent0smith):

\[\Large = \frac{ 4^3 }{ 4^9 } = \frac{ 1 }{ 4^6} \]and 4^6 is...?

OpenStudy (anonymous):

exactly what i said lol

OpenStudy (anonymous):

can you please help me with some more, I'm literally dying cause I'm so stressed out @agent0smith

OpenStudy (agent0smith):

Okay

OpenStudy (anonymous):

OpenStudy (agent0smith):

Put each option in place of the blank. Then find the common ratio between the 3rd and 2nd, and the 2nd and 1st numbers. The common ratio must be the same for both, for it to be a possible term.

OpenStudy (agent0smith):

You can eliminate a couple of options right away that don't make any sense.

OpenStudy (anonymous):

all the negative options? lol :P

OpenStudy (agent0smith):

No. If you can't eliminate any, do what I said for all of them.

OpenStudy (anonymous):

do i divide them or subtract i forgot

OpenStudy (agent0smith):

Divide one by the number before it

OpenStudy (anonymous):

i got -5 for both with the first answer choice

OpenStudy (anonymous):

so im assuming thats the correct answer?

OpenStudy (agent0smith):

Yep

OpenStudy (anonymous):

gosh your a freaking genius, can you help me with this one?

OpenStudy (agent0smith):

lol thanks. This one you can use a formula but don't need to. Just fill in all the missing numbers and add them all together, I'm sure you can notice the pattern.

OpenStudy (anonymous):

i see the pattern but I'm still a little confused on how I'm supposed to solve it, I'm assuming 30 is coming next, do i just add all of that up and its my answer?

OpenStudy (agent0smith):

Yep, just add up all the numbers that it shows (plus the missing ones)

OpenStudy (anonymous):

900? (:

OpenStudy (agent0smith):

Yep

OpenStudy (anonymous):

can you help with this to please? gosh your so helpful, and the best part about this is that your helping me to actually understand it.

OpenStudy (agent0smith):

Notice it's adding 4.4 each time, from 2.2 to 6.6 to 11.

OpenStudy (anonymous):

yes…but this stuff confuses me the most…i just don't understand it at all

OpenStudy (agent0smith):

well if you're adding 4.4 each time, there's only one possible answer

OpenStudy (anonymous):

D?

OpenStudy (agent0smith):

No, it's the one where you're adding a multiple of 4.4... ie 4.4n

OpenStudy (anonymous):

B?

OpenStudy (agent0smith):

Yep

OpenStudy (anonymous):

i have a little bit more to do, do you mind helping me finish them? (:

OpenStudy (anonymous):

OpenStudy (anonymous):

@agent0smith

OpenStudy (agent0smith):

That one needs a bit more work... the common difference is the 5, the first term would be 1 (from plugging in t=1 into 5t-4) Use the formula for sum of an arithmetic series: http://www.regentsprep.org/Regents/math/algtrig/ATP2/ArithG3.gif n would be 18, a1 is 1, an would be found by plugging in 18 into 5t-4

OpenStudy (anonymous):

yeahhh…I'm really lost..

OpenStudy (agent0smith):

Yeah you might be better off just using this then... http://www.wolframalpha.com/input/?i=sum+from+1+to+18+of+%285t-4%29

OpenStudy (anonymous):

so 783 is the final answer?

OpenStudy (agent0smith):

Yep

OpenStudy (anonymous):

omh thankssss!

OpenStudy (anonymous):

just two more! (:

OpenStudy (anonymous):

OpenStudy (anonymous):

(:

OpenStudy (anonymous):

OpenStudy (anonymous):

so is it answer 3, or 4?..

OpenStudy (agent0smith):

Well round it to the nearest whole number, which would be...

OpenStudy (anonymous):

ok 4 lol

OpenStudy (anonymous):

ok this is the last thing. can you just check the answers i got for these last two?

OpenStudy (agent0smith):

First looks right No divergent series has a sum.

OpenStudy (anonymous):

ok yeah the last one was the one i was confused on! I actually am a little stuck on this last problem if you wouldn't mind helping, and i don't mean to rush you but i have to go like right now so i have to hurry..im sorry (Part A is where I'm having trouble, i know the total of chairs is 1125)

OpenStudy (anonymous):

( i mean beads)

OpenStudy (anonymous):

@agent0smith

OpenStudy (anonymous):

Thankyou so so so so much i wish i could give you all of the medals in the world (: your the most helpful person on here, thank you So much you have no idea how much you saved my life! lol (: @agent0smith

OpenStudy (agent0smith):

hehe you are welcome Emma :)

OpenStudy (anonymous):

Have a great night! your amazing! ((((:

OpenStudy (agent0smith):

Thank you :))

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