andrewng wrote:
If {n} denote the remainder when 3n is divided by 2 then which of the following is equal to 1 for all positive integers n?
I/ {2n+1}
II/ {2n}+1
III/ 2{n+1}
A/ I only
B/ II only
C/ I and II
D/ III only
E/ II and III
I don't really understand what it asking for in the question. Could somebody help?
Substitute 2 for each answer and solve..as a check do the same with value of 1
{2} remainder = 0
{1} remainder = 1
I. {2(2) + 1} = {5} plug in 5 into 3n/2 and remainder = 1
II. {2(2} + 1 = {4} remainder = 0 and add 1 so answer = 1
III. 2{2+1} = {3} remainder = 1 but then multiply that by 2 and answer is 2
I. {2(1) +1} = {3} remainder = 1
II. {2(1} + 1 = {2} remainder = 0 and add 1 so answer is 1
III. 2{1+1} = {2} remainder = 0 then multiply by two answer is 0
someone double-check my logic...not 100% sure if correct