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[?] Create an iterating function - from the following required form?

Posted 9 years ago

Hi All,

I am trying to create an iterating function - from the following data in the required form?
Below I have shown the 'structure' of the function & the correct output values for each element in the output list. Ideally I trying to code Nest or NestList or some other function to give me the correct function to produce the desired output results. But I am not sure how to set this up.

Please could someone review the following & provide suggestions for coding such a function.

{(360*30^2*(4)),
 (360*30^2*(4)) + (360*30^2*(16)),
 (360*30^2*(4)) + (360*30^2*(16)) + (360*30^2*(36)),
 (360*30^2*(4)) + (360*30^2*(16)) + (360*30^2*(36)) + (360*30^2*(64)),
 (360*30^2*(4)) + (360*30^2*(16)) + (360*30^2*(36)) + (360*30^2*(64)) \
+ (360*30^2*(100)),
 (360*30^2*(4)) + (360*30^2*(16)) + (360*30^2*(36)) + (360*30^2*(64)) \
+ (360*30^2*(100)) + (360*30^2*(144)),
 (360*30^2*(4)) + (360*30^2*(16)) + (360*30^2*(36)) + (360*30^2*(64)) \
+ (360*30^2*(100)) + (360*30^2*(144)) + (360*30^2*(196)),
 (360*30^2*(4)) + (360*30^2*(16)) + (360*30^2*(36)) + (360*30^2*(64)) \
+ (360*30^2*(100)) + (360*30^2*(144)) + (360*30^2*(196)) + \
(360*30^2*(256)) }

Output = {1296000, 6480000, 18144000, 38880000, 71280000, 117936000, \
181440000, 264384000}

Many thanks for your help & attention. Best regards, Lea...

POSTED BY: Lea Rebanks
2 Replies
Posted 9 years ago

Hi Gianluca , That's a great answer - more simple than expected. Many thanks for your help. Best regards, Lea...

POSTED BY: Lea Rebanks

You can try with FindSequenceFunction. The output is

216000 (n + 3 n^2 + 2 n^3)
POSTED BY: Gianluca Gorni
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