Question 1142531
<pre>
I will list the differences and then differences-of-differences, etc.

       1,   16,   81,    256,    625,   ....
dif      15,   65,    175,   369,   ...
dif2        50,   110,    194,  ...
dif3           60,     84,   ...
dif4               24,   ...

I don't see a pattern.




How about this?
       1,   16,   81,    256,    625,   ....

=      1^4,  2^4, 3^4,   4^4,  5^4,  ...
 


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While I agree tutor greenstamps came up with the correct answer, there is no basis for assuming the next dif4 will be 24.   There is not enough data to make that calculation/assumption.