Sum of Sequences of Fifth and Seventh Powers
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Theorem
- $\displaystyle \sum_{i=1}^n i^5 + \sum_{i=1}^n i^7 = 2 \left({\sum_{i=1}^n i}\right)^4$
Proof
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Sources
- Seth Warner: Modern Algebra (1965): $\S 18$: Exercise $18.10 \ \text{(d)}$
