Thursday
November 27, 2014

Homework Help: math

Posted by Jon on Thursday, December 13, 2007 at 6:25pm.

1)Find the third iterate x3 of f(x)=x2-4 for an initial value of x0=2
A)-4
B)4
C)12
D)-12
I chose C

2)Use Pascal's triangle to expand:(w-x)5
This ones long so I chose w5-5w4x+10w3x3-10w2x4+5wx4-x5

3)Use the binomial Theorem to find the third term in the expression of:(n-2p)6
A)60n4p2
B)120n3p3
C)-12n5p
D)-160n2p4
I chose C

4)Which is not a counterexample to the formula:1^2+3^2+5^2+...+(2n-1)2=n(2n+1/3
A)n=3
B)n=2
C)n=1
D)n=4
I chose C

5)In an induction proof of the statement 4+7+10+...+(3n-1)=n(3n+5)/2
the first step is to show that the statement is true for some integers n.
Note:3(1)+1=1[3(1)+5]/2 is true. Select the steps required to complete the proof.
A)Show that the statement is true for any real number k. Show that the statement is true for k+1.
B)Assume that the statement is true for some positive integer k. Show that the statement is true for k+1.
C)Show that the statement is true for some positive integers k. Give a counterexample.
D)Assume thst the statement is true for some positive integers k+1. Show that the staement is true for k.
I dont know

Thank you SO much Reiny for helping me. I'm not looking for anyone to give me the answer because Ive done the work and what ever I answered is my BEST answer and I can't afford to get them wrong so thanks for all your help from the bottom of my heart.

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