SOLUTION: If n is an integer and 4 is the remainder when 4n - 1 is divided by 5, then n could be

SOLUTION: If n is an integer and 4 is the remainder when 4n - 1 is divided by 5, then n could be

Algebra.Com

Question 198998: If n is an integer and 4 is the remainder when 4n - 1 is divided by 5, then n could be
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
Let x = Quotient of above
.
Then 5x+4 = 4n-1,,,,, that is quotient times divisor is 4 less than dividend,,,hence remainder 4
.
5x +5 =4n
.
(5x+5) / 4 =n
.
itterate x until n = integer
.
@ x=7,,,n=10
.
check
.
( 4*10 -1) / 5 = 39/5 = 7 rem4
RELATED QUESTIONS
if n is an integer greater then 1, such that n divided by 4 yields a remainder of 0,... (answered by tommyt3rd)

If n is a positive integer then what is the remainder when {3(8n+3)+2} is divided by... (answered by josgarithmetic)

For an integer $n,$ let $f(n)$ be the remainder when $n^8 + n^{16}$ is divided by $5.$... (answered by greenestamps)

when 39,500 is divided by an integer n, the quotient is 123 and the remainder is 17. find (answered by ikleyn)

when a positive integer n is divided by 5, the remainder is 4. which of the following... (answered by Fombitz)

If (5^4 �1 )/n is an integer and n is an integer, then n could be each of the following... (answered by Alan3354)

An integer is divided by 7 giving a remainder of 5. The resulting quotient when divided... (answered by josmiceli)

When n is divided by 5, the remainder is 4. When n is divided by 4, the remainder is 3.... (answered by checkley77,Theo)

If (n+2)/(5) is an integer, what is the remander when (n) is divided by... (answered by jim_thompson5910)