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Did I mess up on the ratio part?

yes :P

LOL let me revise

can i tell you how can you get it ?

0.000097

-6 divided by (-6144)??

i did this one for you

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

wait huh??? then what is???

so n = 6 temporarily?

yes, only to find the value of 'r'

ok:)

http://www.basic-mathematics.com/geometric-sequence-calculator.html

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

don't use that.

Oh?

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

okay

I don't know how to get this

what u got after plugging in ?

First term: 625
Ratio: -6144
N= 9

I got numbers that were entirely off

in the 8 millions

8 thousands rather*

= -393,216

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

Really?????

ughhhh oh my god

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

no

a1=-6
n=6
an=a6=-6144

ohhhh yes yes!!!

what do i do after the -6144

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

the next step please:)

my notes are progressing!!

|dw:1363206708125:dw|
got this ?

-6144/ -6 ?

what is that loop thing?

on right side ? its 'r'
r^5

it looks like a deformed male genital

lol :P

ohhhhhhhh!!!!!!! R

yes, r = common ratio

got the step:)

can you find 'r' from that ?

yes let me try

1024^5 = 1.1258999e+15

its 1024 =r^5
not 1024^5

huh?

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

let me see

i dont know

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

got how r=4 ?

yes

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

no

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

okay:) Ratio = 4?

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

3603000625

no...what values you put ?

i got :
The 9th term is -393216

I made a few minor errors but i fixed it

great! any more doubts ?

phew! this took an hour!

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

you are literally THE BEST

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