2006-09-18 17:56:02 · 4 answers · asked by Amit K 2 in Science & Mathematics ➔ Mathematics
R = 23.95 using excel
I attempted to solve this for the general equation:
R = (30^N - 29^N) / (30^N-1 + 29^N-1).
Which gives this series which is monitonically rising and with R always bigger than 1 for N>2. If you wanted a formal proof you could also consider the case where N tends to infinite in this case R tends to 30^N/30^N-1 = 30. So as long as this is a monotonically rising function and for N = 2, R evaluates to 1
then for N > 2, R will always be > 1.
N R
1 0,5
2 1
3 1,5
4 2
5 2,5
6 2,99
7 3,49
8 3,98
9 4,48
10 4,97
11 5,45
12 5,94
13 6,42
14 6,9
15 7,37
16 7,84
17 8,31
18 8,77
19 9,23
20 9,69
2006-09-18 18:21:33 · answer #1 · answered by Chris C 2 · 0⤊ 0⤋
Multiply the numerator and denominator by 30^64 - 29^64.
2006-09-18 18:05:11 · answer #2 · answered by ? 6 · 0⤊ 0⤋
Trust me... you will NEVER have a need for this equation EVER in the real world
2006-09-18 20:21:47 · answer #3 · answered by jonti 5 · 0⤊ 1⤋
gives me a head ache
2006-09-20 05:29:46 · answer #4 · answered by Anonymous · 0⤊ 1⤋