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Sigma notation and the Binomial Theorem — Homework
Write out the first few terms of each sum by hand, and use Pascal's Triangle to expand each binomial.
- 1.Evaluate sum from k=1 to 4 of (3k-2).
- 2.Expand (x-1)^3 using the Binomial Theorem.
- 3.Find the coefficient of x^3*y^2 in the expansion of (x+y)^5.
- 4.Find the coefficient of x^2*y^3 in the expansion of (x+y)^5, and explain why it matches the previous answer.
- 5.Evaluate sum from k=0 to 3 of 2^k, and explain how this connects to a geometric series.
🌲 Homeschool of the FutureTwelfth Grade · Math · week 33 homework