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Find the missing terms of the geometric sequence: 3, _, _, _, 768
the third term would be the geometric mean between the first and the fifth: a3=sqrt(3x768) =48. Likewise the second term is the geometric mean between a1=3 and a3=48, a2=sqrt(3x48) =12 So,r=4: 3,12,48,192,768 2. [ [ 20r=48, r=48/20=12/5 5, 12, 144/5, 1728/25 which is not 20. You have something wrong with the sequence. 3, 12, 48, 192, 768 ]
Expert answered|dennis003|Points 51|
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Asked 6/20/2012 12:28:57 PM
Updated 8/31/2021 10:38:45 PM
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The missing are geometric sequence: 3,12,48,192,768.

In a geometric sequence you multiply by some number r to get to the next term. You can think of each comma as a sign telling you to multiply by r.

If we call our missing terms a, b, c we know that
3.ra
3.r.rb
3.rrr = c
aaand
3.r.rr. r = 768
3.4 = 768
768
3 768 p4
3 256 p4 -
r = 4
now we can find a, b, and, c pretty easily
a = 12
b = 48
c = 192
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Added 8/31/2021 10:38:45 PM
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