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Anyone good at number patterns?

Admiral Beez

Admiral Beez

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I have a challenge solving these things. The four below are four I want to solve but can't. I've even cheated and ran them through a number pattern calculator, and it said there is no pattern.

3, -6, 12, 4, 20, ?

7, 16, 8, 27, 9, ?

2, 7, 26, 101, 400, ?

7, 21, 8, 72, 9, ?
 
The first and second sequences appear to have a pattern of addition and subtraction:
1) 3, 3-9, -6+18, 12-8, 4+16
So I would guess that for the next number you would subtract 7 from 20, then add 14 to 13, etc.

2) Similar to the first, the next number would be 38.

3) These numbers follow the pattern of multiplying by 4 and subtracting an integer 'n' where 'n' increases by 1 each time:
2, (4*2)-1, (4*7)-2, (4*26)-3, (4*101)-4, (4*400)-5

4) It appears to be two sequences spliced together into one:
7, 3(7), 7+1, (3^2)(7+1), 7+2
The final number should be (3^3)(7+2) or 243
 
Last edited:
Yeah, I bungled the second one.

7, (7*2)+2, 16/2, (8*3)+3, 27/3
The final number would be (9*4)+4 or 40.
 
EddyT said:
Yeah, I bungled the second one.

7, (7*2)+2, 16/2, (8*3)+3, 27/3
The final number would be (9*4)+4 or 40.
Click to expand...
Thanks. Here's the last brain buster I can't sort out. My eyes hurt...

tiles.png
 

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I'm really not sure about that one, but I think it's the third. Just looking at each column separately, and looking at what changes from the top to the bottom: everything is rotated 90 degrees, the curved lines become straight, the solid straight lines become curved, and the straight dotted lines remain straight dotted lines. I have no idea what to make of the middle squares.:confused:

Edit: I'm almost certain it is the third one, because a similar pattern holds for each row and leads to the same answer.
 
Last edited:
EddyT said:
I'm really not sure about that one, but I think it's the third. Just looking at each column separately, and looking at what changes from the top to the bottom: everything is rotated 90 degrees, the curved lines become straight, the solid straight lines become curved, and the straight dotted lines remain straight dotted lines. I have no idea what to make of the middle squares.:confused:

Edit: I'm almost certain it is the third one, because a similar pattern holds for each row and leads to the same answer.
Click to expand...

both horizontally and vertically, there are 1, 2, and 3 straight, dotted and wiggly lines. The missing one is 1 vertical dotted and 2 horizontal solid.
 
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