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What is the next number in the series : 1,2,4,8 ...

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With the information given, 16 is the only obviously correct answer and the only one you will get.

There are an infinite number of series that include 1, 2, 4, and 8. I can define a curve that includes these four values and

So whatever your answer is, it is wrong too.

So you get to say: "Wrong" "Wrong" "Wrong" "Wrong" "Wrong" "Wrong"

Isn't this fun?

At this point with what we've been given there are two possible solutions for this set of numbers:1,2,4,8...

Solution 1:

2^0=1

2^1=2

2^2=4

2^3=8

2^4=16

Solution 1a: Same answer of 16, but as stated above: Doubling the previous number.

1+1=2

2+2=4

4+4=8

8+8=16

Solution 2:

(1+2) +1=4

(2+4) +2=8

(4+8) +3=15

So 16 and 15 can potentially be used as the answer.

And also potentially any other variation can give other answers, but the answer most likely has to be greater than 8.

1, 2, 4, 8,

This is the simplest polynomial that goes through the given points.

You can find a 4th degree polynomial that goes through these four and

1, 2, 4, 8,

This is the same as taking the last digit of

1, 2, 4, 8,

There is no reason not to try another modulus.

1, 2, 4, 8,

Since I got the points, this is probably what krakatoa was thinking about.

This is also what comes up if you Google "1 2 4 8"

If you think this is arbitrary, I would certainly have to agree.

Is there anything special or interesting about

Some of more easily justified ones include these:

https://oeis.org/search?q=1%2C2%2C4%2C8

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