+0  
 
0
322
1
avatar+201 

Use differences to find a pattern in the sequence.

 

-2, -2, -3, 0, 12, 38, 83 = 

 

Assuming that the pattern continues, the eighth term should be =

cassie19  Sep 6, 2017
 #1
avatar
0

-2, -2, -3, 0, 12, 38, 83.....

Look at the difference between the terms at several levels as follows:
0, -1, 3, 12, 26, 45..............First difference
-1, 4, 9,  14, 19....................Second difference
5, 5, 5, 5.............................Third difference

Now, to get the next term in your sequence, just add the last terms as follows:

5 + 19 + 45 + 83 =152, 5 + 24 + 69 +152 =250.........etc. So, your sequence  would be:

-2, -2, -3, 0, 12, 38, 83, 152, 250, 382........etc.

P.S. You could also use this formula to generate any term that you want:

 a(n) = 1/6 (5n^3 - 33n^2 + 64n - 48) 

Guest Sep 7, 2017

13 Online Users

avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.