In an induction proof of the statement 4+7+10+...+(3n-1)=n(3n+5)/2

Question

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 don't know

Thank you SO much 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.

Answer 1

When I did this yesterday. I assumed it worked at any positive integer and then showed that it worked for n+1 ( Use n = k and n+1 = k+1 to make it clearer)

Answer 2

thanks i got it

Answer 3

Which of the following is a true statement?
A. |–2| < |1|
B. |1| < |0|
C. |–1| < |–2|
D. |1| > |–2|

Answer 4

D. |1| > |-2|