How do you use mathmatical induction to show that the coefficient of x^2 in the expansion...

How do you use mathmatical induction to show that the coefficient of x^2 in the expansion of (1+x+x^2+...x^n)^n is (1+2+...n).

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Colby Messinger answered 2 years ago

How do you use strong induction to show that the coefficient of x^2 in the expansion...

How do you use strong induction to show that the coefficient of x^2 in the expansion of (1+x+x^2+...x^n)^n is (1+2+...n)?

Do the following problems: a. Use mathematical induction to show that 1 + 2 + 22...

Do the following problems: a. Use mathematical induction to show that 1 + 2 + 22 +···+ 2n = 2n+1 − 1 for all non-negative integers n. b. A coin is weighted so that P(H) = 2/3 and P(T) = 1/3. The coin is tossed 4 times. Let the random variable X denote the number of heads that appear. (x) Find the distribution of X; (xx) Find the expectation E(X). c. Show a derivation of Bayes’ Theorem

What is the coefficient of ?^2 y^2 z in the expansion of (x + y +...

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How do you show that the function "f(x) = {[x-1;x<2], [2x-3;x>=2]}" is not differentiable at "x=2”?

Use mathematical induction to prove that If p(x) in F[x] and deg p(x) = n, show...

Use mathematical induction to prove that If p(x) in F[x] and deg p(x) = n, show that the splitting field for p(x) over F has degree at most n!.

why do we use complete induction and why do we use structual induction? When should we...

why do we use complete induction and why do we use structual induction? When should we use complete or structual?

How do you interpret the unstandardized regression coefficient for a predictor variable? If the regression coefficient...

How do you interpret the unstandardized regression coefficient for a predictor variable? If the regression coefficient for a predictor variable is .52, what does that mean? If the regression coefficient for a predictor variable is -.47, what does that mean?

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How do you use mathmatical induction to show that the coefficient of x^2 in the expansion...

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