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+3
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how to write a recursive formula? in algebra 2 

a) -1, 8, -64, 512, -4096

Guest Oct 1, 2014

Best Answer 

 #3
avatar+92781 
+8

n is the POSITION OF THE N'TH TERM.

 

IN THE SEQUENCE   3,5,7,9,11,.....

The second term is 5

the 5th term is 11

the n'th  term could be written as 2n+1

In this context n cannot be 0.  What is the 0th term?  It does not make sense!

Melody  Oct 1, 2014
 #1
avatar+87301 
+8

The formula would be.......

(-1)n * 8(n-1)      (where n ≥ 1)

 

CPhill  Oct 1, 2014
 #2
avatar+1314 
+3

Hi, I was looking at this today in my work but doesnt n equal to the nth term, with values (in most cases 0,1,2,3,4,5,6,7...; but which could be set to be less than 1 also I guess.) Is this right, could you elaborate for me please. Thanks.

Stu  Oct 1, 2014
 #3
avatar+92781 
+8
Best Answer

n is the POSITION OF THE N'TH TERM.

 

IN THE SEQUENCE   3,5,7,9,11,.....

The second term is 5

the 5th term is 11

the n'th  term could be written as 2n+1

In this context n cannot be 0.  What is the 0th term?  It does not make sense!

Melody  Oct 1, 2014
 #4
avatar+17744 
+5

Recursively:  The first term is -1.

Each term after the first is found by taking the previous term times -8.

Thus, the recursive formula:  t(1) = -1

                                           t(n) = -8 · t(n-1)

geno3141  Oct 1, 2014
 #5
avatar+92781 
0

Thanks Gino,  I don't remember hearing that wording before.  Thank you.  

Melody  Oct 2, 2014

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