###### Asked in Math and Arithmetic

Math and Arithmetic

# Select the next number in the series 1 7 18 37 67 111?

## Answer

###### Wiki User

###### May 31, 2009 12:02AM

202

## Related Questions

###### Asked in Numbers

### What number is after 110?

###### Asked in Prime Numbers

### Is 111 prime number?

If a number has only two factors then it is prime. For every
natural number(except 1) we are sure about its two factors: 1 and
the number itself.
So the two factors we already know of 111 are 1 and 111. So if
there exists some number which divides 111 evenly then 111 has more
than two factors implies 111 is a composite number.
111 is not a prime number because it is divisible by 3.

###### Asked in Math and Arithmetic

### Select the next number in the series 1 7 18 37 67 111 202?

Given any number it is easy to find a rule based on a
polynomial of order 7 such that the first seven numbers are as
listed in the question and the next is the given number. There are
also non-polynomial solutions.
The simplest polynomial solution, of order 6, is
T(n) = (n^6 - 21*n^5 + 175*n^4 - 723*n^3 + 1612*n^2 - 1668*n +
648)/24 for n = 1 , 2, 3, ...
Accordingly, the next term in the sequence is 463.