Use mathematical induction to prove the following proposition:
(1)/(3)+(1)/(9)+(1)/(27)+cdots+(1)/(3^(n))=(3^(n)-1)/(2(3^(n))),n>=1
The goal of this section is to show the verify the inductive step leading to your conclusion (no need to write out the basis step and induction hypothesis).
That is, either show that (1)/(3)+(1)/(9)+(1)/(27)+cdots+(1)/(3^(k))+(1)/(3^(k+1))=(3^(k+1)-1)/(2(3^(k+1))) to conclude that the proposition is true or provide justification for why you would conclude that it is false.
Use mathematical induction to prove the following proposition
111
1 3n-1 ,n1 3n 2(3n
27
The goal of this section is to show the verify the inductive step leading to your conclusion (no need to write out the basis step and induction hypothesis).
That is, either show that 1 + 1 + to conclude that the proposition is true or 3k +3k+123k+1 provide justification for why you would conclude that it is false