I need help with geometry problem. I ask almost everyone and they can't sovle it.?

Question

The question was part of my test. the question was descibe the next pattern. The zero usually threw people off. I want to know if is this problem solve-able. Descibe the next pattern. 0, 2, 4, 16 .......

I know that 2 x 2 = 4 4x 4= 16 and 16 x 16 = 256. But I always ask people how did they get from 0 to 2?

i don't no it just ask for the next number and what's the pattern example. 2, 4, 6, 8...... the next number is 10. Cause its x's 2. The pattern can be additon, subtract, divison, etc ....

Problem: (( 0,2,4,16....)) don't forget the zero. its number are zero two four sixteen

Answer 1

is it an arithmetic or ratio pattern? then any justifiable answers can be accepted.

if its arithmetic:
you can have a 2nd level difference of 10
0,2,4,16
1st level difference
2,2,12
2nd level difference
0,10
so there might be a pattern of 0,10, 20, 30
20+12+16 = 48. might be 48, 110..etc

ratio then..-.- too much work.

Answer 2

Ok. Because I don't know how to use sub scripts, let 1n be N sub 1 (the first term), 2n be N sub 2 (the second term)......

Let 1n = 0 and 2n= 2

Then the "n"th term can be found using the generator:

(n-1)n * (2)^(n-2)

So, the third term is the second term(2) * 2^(3-2) = 4 *sweet*
So, the fourth term is the third term(4) * 2^(4-2) = 16 *sweet*
So, the fith term is the fourth term(16) * 2^(5-2) = 128 =)

Let it be known that the * is a way of showing multiplication and ^ is a way of showing something being raised to a power. I don't know if you guys learned this, but it is a solution. You can define the first and second terms as 0 and 2 and then set up a formula using the previous terms and some mathematical formula.

Answer 3

Looks like each number from 4 on is the square of the previous number. So the next number would be 16^2 = 256
The zero could be an arbitrary starting point since if you want to keep it all in terms of whole numbers the square root of 2 is not a whole number.
Not sure what you mean by the next pattern. You could have a sequence of cubes as the next pattern but you could just as well have a sequence of triangular numbers. It's not determined.
If you want to keep this in terms of a geometry problem, the numbers could represent a point, line, square, cube, and 4d cube.

Answer 4

The Fibonacci sequence is as follows:

0,1,1, 2, 3, 5, 8... etc

The sequence for 2^n is as follows:

1, 2, 4, 8,16, 32, 64....etc.

The product is as follows:

0, 2, 4, 16, 48, 160, 512....

which is the series you seek.

Answer 5

There are infinitely many answers to this question, as stated, which do include 0 as the first term. I will give one answer that fits the data set given:

The nth term is (1/3)(n)(5n^2 - 15n + 16).

This is the only cubic polynomial that will work. Of course, one can find infinitely many polynomials of any higher degree that will suffice. The cubic curve-fitting routine on a standard graphing calculator will get this solution.

Answer 6

I keep in mind that there is a thorem that if both facets of a traingle are equivalent then the perspective opposite to them are also similar. Please see the thorem. So the bisectors make a isoscele traingle with the part in between the angles were getting bisected.i visit later write you the information of the theorm. because the each and each 0.5 of the angles are equivalent, then the total angles are equivalent. right here you found both angles are equivalent. As in step with definition: in a traingle if both angles are equivalent, then that traingle is termed a isoscele traingle.

Answer 7

i'll say the next in line is definately the square of 16

Answer 8

scythian must have been in school that day I missed--it has been too long--I officially pull my answer

Answer 9

The answer is 0,2,4,16,256,.........