SOLUTION: Write the general terms of the following sequence: š‘Œ=(0,9,26,65,.........)

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Question 1170500: Write the general terms of the following sequence:
š‘Œ=(0,9,26,65,.........)
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
The numbers in the sequence 

0,9,26,65

are close to the numbers in the sequence of cubes:

1,8,27,64, which is

1Ā³,2Ā³,3Ā³,4Ā³

 0 =  1-1 = 1Ā³-1   <-- 1st term
 9 =  8+1 = 2Ā³+1   <-- 2nd term
26 = 27-1 = 3Ā³-1   <-- 3rd term
65 = 64+1 = 4Ā³+1   <-- 4th term

So the nth term will begin with nĀ³
If n is even we will add 1
If n is odd we will add -1
So regardless, we add (-1)n

The general term is



Edwin
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