Q: Which number best completes the sequence 2 6 3 8 6 12?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

The letter is L and the number is 12.

(plus) + 4 (minus) - 3

The number that completes the sequence would be 11. Imagine the sequence as two sequences of every other number starting with the first 2 and the first 6. You would have 2 3 6 and 6 8 12 2 3 6 is adding odd numbers starting with one. 6 8 12 is adding even numbers starting with two. The next number belongs to 2 3 6 so you would add 5 to get 11.

No number completes it because the sequence can go on forever. There are infinitely many possible solutions: given any seventh number it is possible to find a polynomial of degree 6 that will fit the above six points and the selected seventh. There is only one polynomial of degree 5, and using that as the position to value rule, the next number is 131.

Not sure about "completes" because the sequence continues. The next number is 20 and you can verify that by fitting the following cubic equation: u(n) = 5*(-n3 + 36n2 - 257n + 558)/12 for n = 1, 2, 3, 4, ...

Related questions

The number which best completes the sequence below is: 2 9 5 13 10 19 17 ?

What number best completes the sequence 1 1/2 5 10 1/2 18

13 20 12

The letter is L and the number is 12.

1

(plus) + 4 (minus) - 3

2 6 3 8 6 12 2 6 3 8 6 12

11

The number that completes the sequence would be 11. Imagine the sequence as two sequences of every other number starting with the first 2 and the first 6. You would have 2 3 6 and 6 8 12 2 3 6 is adding odd numbers starting with one. 6 8 12 is adding even numbers starting with two. The next number belongs to 2 3 6 so you would add 5 to get 11.

11

No number completes it because the sequence can go on forever. There are infinitely many possible solutions: given any seventh number it is possible to find a polynomial of degree 6 that will fit the above six points and the selected seventh. There is only one polynomial of degree 5, and using that as the position to value rule, the next number is 131.

23, 22, 44, 45. The pattern is minus 2, minus 1, times 2, plus 1, repeat.