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what is the next 3 terms in this geometric sequence?... 32, 48, 72, 108

 Feb 23, 2016

Best Answer 

 #1
avatar+26387 
+30

what is the next 3 terms in this geometric sequence?... 32, 48, 72, 108

 

Geometric Sequence ... 32, 48, 72, 108, ...

 

The common ratio r is 1.5

 

\(r = 1.5\\ r = \frac{48}{32} = \frac{72}{48} = \frac{108}{72}\)

 

The  geometric sequence is \(a,\ a\cdot r,\ a\cdot r^2,\ a\cdot r^3,\ a\cdot r^4,\ \dots\)

 

\(\begin{array}{rcll} a_{n+1} &=& a_n \cdot r \\ \end{array}\)

 

32,

32*1.5 = 48

48 *1.5 = 72

72 * 1.5 = 108

108 * 1.5 = 162

162 * 1.5 = 243

243 * 1.5 = 364.5

 

The next 3 terms in this geometric sequence 162, 243, 364.5

 

laugh

 Feb 23, 2016
edited by heureka  Feb 23, 2016
 #1
avatar+26387 
+30
Best Answer

what is the next 3 terms in this geometric sequence?... 32, 48, 72, 108

 

Geometric Sequence ... 32, 48, 72, 108, ...

 

The common ratio r is 1.5

 

\(r = 1.5\\ r = \frac{48}{32} = \frac{72}{48} = \frac{108}{72}\)

 

The  geometric sequence is \(a,\ a\cdot r,\ a\cdot r^2,\ a\cdot r^3,\ a\cdot r^4,\ \dots\)

 

\(\begin{array}{rcll} a_{n+1} &=& a_n \cdot r \\ \end{array}\)

 

32,

32*1.5 = 48

48 *1.5 = 72

72 * 1.5 = 108

108 * 1.5 = 162

162 * 1.5 = 243

243 * 1.5 = 364.5

 

The next 3 terms in this geometric sequence 162, 243, 364.5

 

laugh

heureka Feb 23, 2016
edited by heureka  Feb 23, 2016

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