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