Mathematics
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OpenStudy (help!!!!):
Find the geometric mean in the sequence 6,_,96
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OpenStudy (help!!!!):
\[A. \pm24 b. 4 c.\pm16 d.51\]
OpenStudy (help!!!!):
A B C or D
OpenStudy (help!!!!):
explain the steps please
jimthompson5910 (jim_thompson5910):
first term: 6
second term: 6r
third term: 6r^2
jimthompson5910 (jim_thompson5910):
the third term is 96, so
6r^2 = 96
solve for r
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OpenStudy (help!!!!):
how did you find this out??
jimthompson5910 (jim_thompson5910):
just based off what a geometric sequence is and how it works
jimthompson5910 (jim_thompson5910):
each term is found by multiplying the previous term by the common ratio r
jimthompson5910 (jim_thompson5910):
btw r is not the final answer
jimthompson5910 (jim_thompson5910):
r will help you get the answer though
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OpenStudy (help!!!!):
kk
OpenStudy (help!!!!):
4!!!
OpenStudy (help!!!!):
really thanks for the help
jimthompson5910 (jim_thompson5910):
the answer isn't 4
jimthompson5910 (jim_thompson5910):
but it will help you get the answer
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OpenStudy (help!!!!):
oh
OpenStudy (help!!!!):
24
jimthompson5910 (jim_thompson5910):
closer
OpenStudy (help!!!!):
wait i dont understand the equation you gave me
OpenStudy (help!!!!):
but what i did was i multiplied both of them and i square rooted them
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jimthompson5910 (jim_thompson5910):
r = 4 or r = -4
6r = 6*4 = 24
or
6r = 6(-4) = -24
jimthompson5910 (jim_thompson5910):
so the term that goes in the blank is 24 or -24
OpenStudy (help!!!!):
kk
jimthompson5910 (jim_thompson5910):
so that's why choice A is the answer
OpenStudy (help!!!!):
okey know I really understand lol
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jimthompson5910 (jim_thompson5910):
that's great