14. We know that 1 = 1. It tun 2+3+4 = 1+8 and that 5 8+9 = 8+27 and that 10+ 13+ 14 + 15+ 16 =27+64 generalize? Write out a gener the pattern this follows, and give a counterexample or a p

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14. We know that 1 = 1. It turns out that
%3D
2+3+4 = 1+ 8 and that 5 +6+7+
8+9= 8+27 and that 10+11+12+
13+ 14 + 15+ 16 = 27+64. Does this
generalize? Write out a general form for
the pattern this follows, and then either
give a counterexample or a proof.
Transcribed Image Text:14. We know that 1 = 1. It turns out that %3D 2+3+4 = 1+ 8 and that 5 +6+7+ 8+9= 8+27 and that 10+11+12+ 13+ 14 + 15+ 16 = 27+64. Does this generalize? Write out a general form for the pattern this follows, and then either give a counterexample or a proof.
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