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Find the next three terms in the geometric sequence: 

6075,4050,2700,1800

Guest Mar 6, 2017
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 #1
avatar+17693 
+5

6075 / 4050  =  2/3

4050 / 2700  =  2/3

2700 / 1800  =  2/3

 

Find  2/3  or 1800  for the next term; then find 2/3rds of that answer for the next term, etc.

geno3141  Mar 6, 2017
 #2
avatar+18777 
0

Find the next three terms in the geometric sequence: 

6075,4050,2700,1800

 

\(\text{ratio } r = \frac{4050}{6075} = \frac{2700}{4050} = \frac{1800}{2700} = \frac23\)

 

\(a_4 = 1800 \\ a_5 = a_4 \cdot r = 1800\cdot \frac23 = 1200 \\ a_6 = a_5 \cdot r = 1200\cdot \frac23 = 800 \\ a_7 = a_6 \cdot r = 800\cdot \frac23 = 533.\bar{3} \\\)

 

laugh

heureka  Mar 6, 2017

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