i never get those things
and i never care
i never get those things
and i never care
multiply by 3, then 4, then 5, etc.
It's interesting that there's multiple ways to solve things like this. You seem to have found the pattern based on how the left side correlates to the right side. I found a pattern purely on the right side. To go from line 1 to line 2, add 6, line 2->3, add 8, then add 10, then 12, and so on. Math is neat.
Couldn't it be either 72 or 90? It will result in 90 if you make the assumption that each number is multiplied by the following equation x(x+1). It will result in 72 if you make the assumption that i=i+1, where i starts at 2, for x*i. Then 9 just follows 6 in the sequence of x (skipping 7 and 8). The only answer that was truly wrong is 81.
No, because the pattern doesn't continue to show you 7 and 8. It's 90. The trick is not showing you the missing numbers; by your thinking, we could replace the 9 with any number, and the next will be 72, but that seems silly since it's only continuing 1/2 the pattern, since the left side is part, too.
I just multiple the first digit by the one under it. If 2=6, multiply by the 3. 4=20, multiply by the 5.
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Btw, on the genius question. Since the pattern is multiples of 2, then the next three in the pattern is 14, 16, 18. So 14+16+18 = 48. 48+42=90
The problem would have been more accurately written:
f(x) = y
f(2) = 6
f(3) = 12
f(4) = 20
f(5) = 30
f(6) = 42
f(9) = ?
There are probably any number of genuinely different possible equations defined by those first 5 points, but x(x+1) is the most obvious one. Most (all?) of the alternatives proposed in this thread are either incorrect or are just a series or algebraic reformulation of the simpler x(x+1).
For instance, Dimmauk's:
Alternatively, you could use:Code:6 12 (=6+3*2) 20 (=12+4*2) 30 (=20+5*2) 42 (=30+6*2) ? (=42+7*2=56) ? (=66+8*2=72) ? (=82+9*2=90)<--- What is this number
x^2+x
(x+1)^2-(x+1)
etc.
I looked for a pattern above most things since thats usually how these work. I kinda saw it as the Right Column started at +6 and went up by +2 for each number next. I.e 6 to 12 is +6, 12 to 20 is +8, 20 to 30 is +10, 30 to 42 is +12. (Left column goes up by 1, right column goes up in increments of 2 to the previous, 6, 8, 10, 12, 14 and so forth)
Also they usually have multiple conclusions based on how you view the pattern, which is why so many people can be "Right" based on how they came to the answer (though there are still wrong...)