When n is divided by 4, the remainder is 3. If 3^n+2 is divided by 5, what is the remainder?
A. 1
B. 2
C. 3
D. 4
E. 0
==> You get n=4p+3, which becomes 3^n+2=3^{4p+3}+2=(3^4)^p(3^3)+2=(~1)^p(27)+2=(~1)(27)+2=(~7)+2=~9. Thus, the remainder when it is divided by 5 becomes 4.
The answer is D.
Answer: D
A. 1
B. 2
C. 3
D. 4
E. 0
==> You get n=4p+3, which becomes 3^n+2=3^{4p+3}+2=(3^4)^p(3^3)+2=(~1)^p(27)+2=(~1)(27)+2=(~7)+2=~9. Thus, the remainder when it is divided by 5 becomes 4.
The answer is D.
Answer: D
.jpg)
