Stage: 4 Challenge Level: 
Let $S_1 = 1$, $S_2 = 2 + 3$, $S_3 = 4 + 5 + 6$,
$\cdots$
Calculate $S_{17}$
Sequences. Approximate solution by numerical methods.. Making and proving conjectures. Stage 5 - Reviewed 2012. Iteration. Powers & roots. epsilons. Mathematical reasoning & proof. Summation of series. Arithmetic sequence.
Published June 1997.
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