3. Using mathematical induction, prove that the Binomial formula holds for complex numbers (Z1 + Z2)" = k=0 (ziz-k where (1) k whenever Z₁, Z2 € C. Hint: = n! k!(n-k)! ( ₁²₁₁ ) + ( )= ("+¹). - for k= 0, 1,2,....
3. Using mathematical induction, prove that the Binomial formula holds for complex numbers (Z1 + Z2)" = k=0 (ziz-k where (1) k whenever Z₁, Z2 € C. Hint: = n! k!(n-k)! ( ₁²₁₁ ) + ( )= ("+¹). - for k= 0, 1,2,....
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 9E
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