Comparable to the easier-to-recognize series of squares: 1 4 9 16 25 36 etc.
Comparable to the easier-to-recognize series of squares: 1 4 9 16 25 36 etc.
Here is an odd thing about this question it is intended to show cubes, but mistakenly adds a second answer in 46.
1 - 8 - 27 - X - 125 - 216. The best answer is 4^3. (64) It is the simplest solution.
Here is why 46 also works.
The difference between 1 and 8 is 7. The difference between 8 and 27 is 19. Add the two differences to get 26. Add the difference to the first number in the set. 1 + 26 = 27. Move down one number and you get the same pattern. 27-8=19. 46-27=19. 19+19+8=46.
The next step in formula is 19 + 79 + 27 = 125.
then 79 + 91 + 46 = 216.
(Difference + Difference + First number in set) = new number in the set.
The second answer could be eliminated by claiming that 1 and 8 have no way to be produced in the beginning, this however is does not matter because the instructions merely ask you to continue a pattern. Both 64 and 46 continue patterns.
Actually, 1^3 = 1 2^3 = 8 3^3 = 27 4^3 = 64 (the missing number) 5^3 = 125 6^3 = 216 You will find that variations on this cubic series show up in a number of algebra problems. It will be convenient for you to learn these first few cubes, at least through 5^3 = 125.
You can also factor the numbers to gain a clue as to how the series evolves. 1=1, 8=2*2*2, 27=3*3*3, 125=5*5*5.
2 cubed = 8
3 cubed = 27
4 X4X4 = 64
5 cubed = 125
5X5X5