InsanelyChaotic
WHAT did I do wrong here? :(
What is the 9th term of the geometric sequence where a1 = 6 and a6 = 6,144?
First term: 6
Ratio: 1024
N= 9



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InsanelyChaotic
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Did I mess up on the ratio part?

hartnn
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yes :P

InsanelyChaotic
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LOL let me revise

hartnn
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can i tell you how can you get it ?

InsanelyChaotic
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0.000097

InsanelyChaotic
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6 divided by (6144)??

timo86m
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i did this one for you

hartnn
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no....
common ratio = next term/ previous term
a1 and a6 are not consecutive terms

InsanelyChaotic
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wait huh??? then what is???


hartnn
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you'd find common ratio =r by,
an = a1 r^{n1}
here, and only for this, n=6
a1=6 always
an=a6 =6144

InsanelyChaotic
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so n = 6 temporarily?

hartnn
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yes, only to find the value of 'r'

InsanelyChaotic
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ok:)


InsanelyChaotic
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huh???????????/ ^

hartnn
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don't use that.

InsanelyChaotic
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Oh?

hartnn
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plug in values in the formula and use other calculator or google.

InsanelyChaotic
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okay

InsanelyChaotic
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I don't know how to get this

hartnn
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what u got after plugging in ?

InsanelyChaotic
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First term: 625
Ratio: 6144
N= 9

InsanelyChaotic
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I got numbers that were entirely off

InsanelyChaotic
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in the 8 millions

InsanelyChaotic
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8 thousands rather*

InsanelyChaotic
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= 393,216

hartnn
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ratio is not 6144
ratio = r is what you have to find

InsanelyChaotic
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Really?????

InsanelyChaotic
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ughhhh oh my god

hartnn
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dw:1363206281770:dw
did you get this step ?

InsanelyChaotic
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no

hartnn
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a1=6
n=6
an=a6=6144

InsanelyChaotic
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ohhhh yes yes!!!

InsanelyChaotic
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what do i do after the 6144

hartnn
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you mean you want next step ? or right side of same step ?

InsanelyChaotic
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the next step please:)

InsanelyChaotic
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my notes are progressing!!

hartnn
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dw:1363206708125:dw
got this ?

InsanelyChaotic
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6144/ 6 ?

InsanelyChaotic
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what is that loop thing?

hartnn
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on right side ? its 'r'
r^5

InsanelyChaotic
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it looks like a deformed male genital

hartnn
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lol :P

InsanelyChaotic
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ohhhhhhhh!!!!!!! R

hartnn
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yes, r = common ratio

InsanelyChaotic
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got the step:)

hartnn
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can you find 'r' from that ?

InsanelyChaotic
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yes let me try

InsanelyChaotic
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1024^5 = 1.1258999e+15

hartnn
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its 1024 =r^5
not 1024^5

InsanelyChaotic
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huh?

hartnn
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\(1024 =r^5 \)
taking 5th root on both sides,
\(\large r= \sqrt[5]{1024}=..?\)

InsanelyChaotic
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let me see

InsanelyChaotic
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i dont know

hartnn
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try this : \(r^5=1024=2^{10} \\ r^5= (2^2)^5 \implies r=2^2=4\)

hartnn
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got how r=4 ?

InsanelyChaotic
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yes

hartnn
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good!
so, now we have
r=4
a1=6
n=9
find an ?

InsanelyChaotic
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no

hartnn
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you can use that link....
or the formula

InsanelyChaotic
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okay:) Ratio = 4?

hartnn
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yes, common ratio = r= 4 is what we found out.

InsanelyChaotic
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3603000625

hartnn
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no...what values you put ?

hartnn
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i got :
The 9th term is 393216

InsanelyChaotic
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I made a few minor errors but i fixed it

hartnn
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great! any more doubts ?

hartnn
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phew! this took an hour!

InsanelyChaotic
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hahahh so so sorry!!!!!!!!!

InsanelyChaotic
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you are literally THE BEST

hartnn
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not really, but i'll take the compliment ;)
Thanks :D