by Guest » Wed Jun 23, 2021 4:15 pm
Is the problem to show that equality is not always true or that it is never true?
If it is to show that it is never true then you have the problem that, as already said, that it IS true when n= 1.
If it is to show that it is not always true then it is sufficient to show that for n= 1, [tex]a_1= a_2= 2[/tex], [tex]\sum_{i=0}^n a_i= 2+ 2= 4[/tex] while [tex]\sum_{i=0}^n i^3= 8+ 8= 16\ne 4^3[/tex],