Subjects algebra

Sum Cubes Db0E32

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Question: top-left: 2. ∑_{j=2}^{6} (j^3 - 1)
1. Problem: evaluate $\sum_{j=2}^{6} (j^3-1)$. 2. Use the sum by substituting each value of $j$ from $2$ to $6$. 3. Compute each term: $$2^3-1=8-1=7$$ $$3^3-1=27-1=26$$ $$4^3-1=64-1=63$$ $$5^3-1=125-1=124$$ $$6^3-1=216-1=215$$ 4. Add the results: $$7+26+63+124+215=435$$ 5. Final answer: $435$.