how can i prove that this can be divided by 11.
4^n+15n-1 ????????
2007-10-10 06:28:27 · 4 answers · asked by murzilka 1 in Science & Mathematics ➔ Mathematics
It can't always be divided evenly.
If n=1
4^1+15(1)-1=28
28/11= 2 6/11
If n=2
4^2+15(2)-1=45
45/11= 4 1/11
2007-10-10 06:39:58 · answer #1 · answered by ccboy73 1 · 0⤊ 0⤋
As you wrote it it´s not true
for n= 1, 4+15-1=18
n=2 16+30 -1 = 45
2007-10-10 06:40:51 · answer #2 · answered by santmann2002 7 · 0⤊ 0⤋
4^n +15n -1 =
0, if n = 0
18 if n=1
45 if n=2
108 if n=3
None of these numbers are divisible by 11 and so I'd say you cannot prove it as theses counterexamples so attest.
2007-10-10 06:45:05 · answer #3 · answered by ironduke8159 7 · 0⤊ 0⤋
If you mean evenly divided, you can't. If n=2, this would yield 45. 45 is not evenly divisible by 11.
2007-10-10 06:39:07 · answer #4 · answered by Fireball 3 · 0⤊ 0⤋