My sister has a logic puzzle her math teacher gave her and no one in my family can figure it out.
The question is as follows:
Find the next 3 values in the following sequence of numbers:
-1, 0, 1, 0, 1, 2, 3, 6, 11, 20, 37
Thanks for your help!
2007-02-27 14:09:48 · 4 answers · asked by CC 2 in Education & Reference ➔ Homework Help
Got it! If you add the previous 3 numbers, you come up with the next number...-1+0+1=0, 0+1+0=1, 1+0+1=2, 0+1+2=3 etc. The next 3 numbers are 68, 125, 230. TahDah!
2007-02-27 14:23:28 · answer #1 · answered by zoogrl2001 3 · 0⤊ 0⤋
This is a moving or rolling window where the numbers are summed to find the next in line. In this case, 3 numbers summed in sequence equals the next in line. The next 3 in this sequence are 68, 125, and 230, if I added correctly in my head that is!
-1 + 0 + 1 = 0
0 + 1 + 0 = 1
1 + 0 + 1 = 2
0 + 1 + 2 = 3
1 + 2 + 3 = 6
2 + 3 + 6 = 11
3 + 6 + 11 = 20
6 + 11 + 20 =37
and the next 3 are:
11 + 20 + 37 = 68
20 + 37 + 68 = 125
37 + 68 + 125 = 230
2007-02-27 14:34:47 · answer #2 · answered by rowlfe 7 · 0⤊ 0⤋
Add the three preceding terms:
-1 + 0 + 1 = 0
0 + 1 + 0 = 1
1 + 0 + 1 = 2
0 + 1 + 2 = 3
1 + 2 + 3 = 6
2 + 3 + 6 = 11
3 + 6 + 11 = 20
6 + 11 + 20 = 37
11 + 20 + 37 = 68
20 + 37 + 68 = 125
37 + 68 + 125 = 230
etc.
2007-02-27 14:21:58 · answer #3 · answered by Anonymous · 0⤊ 0⤋
YOU PROBABLY GOT IT AND I WAS TRYING TO FIGURE IT OUT BY MYSELF TOO
2007-02-27 17:04:51 · answer #4 · answered by Izeth G 2 · 0⤊ 0⤋