Algebra
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OpenStudy (anonymous):
@robtobey A geometric sequence is obtained by placing five terms between 10 and 640. What is the common ratio equal to ?
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jimthompson5910 (jim_thompson5910):
If r is the common ratio, then what is the next term right after 10?
OpenStudy (anonymous):
nothing the question was just like this
jimthompson5910 (jim_thompson5910):
do you agree that it would be 10*r or 10r ?
jimthompson5910 (jim_thompson5910):
since to get the next term, you multiply the last term by r
hopefully that makes sense
OpenStudy (anonymous):
nope mate the answer will be 4 2 3 5 or 6
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jimthompson5910 (jim_thompson5910):
don't worry about the answer choices right now
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
11
jimthompson5910 (jim_thompson5910):
idk what you mean
the term that comes after 10 is 10r
the term after 10r is 10r*r = 10r^2
etc etc until you get to 640
jimthompson5910 (jim_thompson5910):
you should get this sequence:
10, 10r, 10r^2, 10r^3, 10r^4, 10r^5, 640
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OpenStudy (anonymous):
ok
jimthompson5910 (jim_thompson5910):
the next term after 10r^5 is 10r^6
therefore,
10r^6 = 640
jimthompson5910 (jim_thompson5910):
solve 10r^6 = 640 for r to get your answer
OpenStudy (anonymous):
which is 4
OpenStudy (zzr0ck3r):
I agree, to see an example look at
1,2,4,8,16,32,64
64/1=2^6
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jimthompson5910 (jim_thompson5910):
r = 4 is false
OpenStudy (anonymous):
sorry it will be 2
jimthompson5910 (jim_thompson5910):
r = 2 is true
OpenStudy (anonymous):
thanks man can I ask 1 more question
jimthompson5910 (jim_thompson5910):
sure
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OpenStudy (anonymous):
thank you then now I am writing
OpenStudy (anonymous):
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OpenStudy (anonymous):
Did you get the question because my drawing is not good enough ?
jimthompson5910 (jim_thompson5910):
what is the area of the circle given
jimthompson5910 (jim_thompson5910):
hint: use A = pi*r^2
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OpenStudy (anonymous):
it has given no area
jimthompson5910 (jim_thompson5910):
use that formula I gave to compute the area
jimthompson5910 (jim_thompson5910):
r = 5 in this case
OpenStudy (anonymous):
ok but how
jimthompson5910 (jim_thompson5910):
A = pi*r^2
A = pi*5^2
A = ???
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OpenStudy (anonymous):
25pi then wat will happen
jimthompson5910 (jim_thompson5910):
now we will have another circle with the same center at point A
this new circle will have radius 3
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