Follow the outline below and use mathematical induction to

Chapter 10, Problem 85

(choose chapter or problem)

Follow the outline below and use mathematical induction to prove the Binomial Theorem: a. Verify the formula for b. Replace with and write the statement that is assumed true. Replace with and write the statement that must be proved. c. Multiply both sides of the statement assumed to be true by Add exponents on the left. On the right, distribute and respectively. d. Collect like terms on the right. At this point, you should have e. Use the result of Exercise 84 to add the binomial sums in brackets. For example, because k 1 + k 2 = k + 1 2 .

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