The fact that the question is asking for the next three numbers is probably the key to problem. So yeh, I’m thinking one 1, two 2s, three 3s…
Time for a hijack!!!
Next in series:
20, 1, 18, 4, 13, …
20,1,18,4,13,9,3,16,-14,25,-40,36?
Nope, try again.
(If you know the next few digits, please list them. But don’t reveal how you got the answer. 
)
Now I will go nutz trying to figure it out.
Please explain! I played sax in high school band but can’t figure what you’re alluding to here.
…10, 6, 18?
I’m pretty sure it goes: 1, 4, 2, 8, 2, 16, 14 k of g in a f p d, …
Here’s one of my favourites:
0, 1, 2, …
The next number is …
approximately 2.6 times 10^1746 – the series is the natural numbers starting with 0, each followed by n factorial signs:
0, 1!, 2!!, 3!!!, etc.
It gets large very fast …
2,4,288
Nope.
The first impression I got was that the second number in the series is the product of
(Sum of all the odd-sequenced integers)(4) while the odd numbered integers are a Fibonacci sequence. But a Fibonacci sequence has to begin 1, 1. If instead the odd numbered integers are calculated by having them appear in the same number they represent, then it goes
1
4
2
8 (1)(2)(4)
2
16 (1)(2)(2)(4)
3
48 (1)(2)(2)(3)(4)
3
142 (1)(2)(2)(3)(3)(4)
3
426 (1)(2)(2)(3)(3)(3)(4)
4
1704 (all that stuff times 4)
… and so on.
I don’t think there is any one correct answer, but does there have to be? Maybe the teacher’s just asking the students to play around and see what they get.
I hope the teacher will accept multiple answers if the student can show how (s)he got it.
Once I had a test with the question 4 is to 6 as 6 is to?
The correct answer was 8, but a significant number of us answered 9. When we explained how we got it the teacher accepted 8 or 9 as correct.
As soon as I see 1,4 I want to go to 9,16,25,36
As soon as I see 1,3 I want to go to 7,11,13,17
I hate these kind of questions. I think the next six numbers should be .357, .357, .357, .357, .357, .357!
:smack: Eighteen numbers.
Eighteen.
I was suspicious this wasn’t a self-contained sequence. :dubious: Now I don’t feel so bad.
1, 4, 2, 8, 2, 16, 219, 1002, 3063, …
Seems pretty cut-and-dried.
6, 10, 15, …
here I haven’t played in years, yet saw it immediately.
Clever, but these sorts of number sequence problems need to be self-contained (i.e. not dependent on context from anything else), but rather the next number derived from the numbers preceding it.
Here’s a favourite of mine:
3,1,0,1,4,3,…
Just carry the sequence on. As a little hint, it has a finite number of terms.