What is the nth term formula for 6 13 22 33 46?

Answer 1

n+n(n+1) (n+3) /6

Answer 2

The differences between terms are 7,9,11,15

The differences of these differences are 2,2,2,2

Thus the formula for the sequence begins with n2

The sequence of numbers minus n2 is 5, 9, 13, 17, 21

The difference between the terms is 4

So the formula continues n2+4n

The sequence of numbers minus n2+4n is 1, 1, 1, 1, 1

So the formula for the nth term is n2+4n+1

Answer 3

The given sequence is an arithmetic sequence with a common difference of 7. To find the nth term formula for an arithmetic sequence, you can use the formula: a_n = a_1 + (n-1)d, where a_n is the nth term, a_1 is the first term, n is the position of the term, and d is the common difference. In this case, the first term a_1 is 6 and the common difference d is 7. Therefore, the nth term formula for this sequence is a_n = 6 + 7(n-1) = 7n - 1.

Answer 4

Ah, what a lovely sequence we have here! To find the nth term, we can see that each number is increasing by adding consecutive odd numbers starting from 1. So, the nth term formula for this sequence is n^2 + 5. Just like painting a beautiful landscape, sometimes all we need is to step back and see the pattern unfold before our eyes.

Answer 5

Oh, dude, you just add the previous term by n squared and subtract n to get the nth term. So, for this sequence, the nth term formula would be n^2 + 5n + 1. But hey, who's really counting, right?

Answer 6

6n+3 n(n+1)+n*(n+1)(2n+1)/6