Want this question answered?

Q: What is the nth term rule of the linear sequence below 13 7 1 and minus 5 and minus 11 . . .?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

1, 4, 7, 10, 13, …

For a linear sequence (same differences) look for the difference first. E.g.7, 11, 15, 19 ...This has a difference of 4 so the first part of the rule is 4n. (the rule follows the 4 times table)Now compare the sequence to the 4 times table7, 11, 15, 19 ...4, 8, 12, 16 ...Out sequence is always 3 larger than the four times table so we adjust our rule by adding 3. So our final rule is 4n + 3.

There are infinitely many possible answers. The simplest, linear, rule is Un = 4n - 17 for n = 1, 2, 3, ...

Anything you like. You specify whatever rule you like and the resulting set of numbers is the sequence based on that rule.

Below is a rule that is an example of a non-linear function when b is 49, a is 7 and a is a function of b: a = square root of b 7 = square root 49 7=7

Related questions

6n-5 is the nth term of this sequence

1, 4, 7, 10, 13, …

The nth term is 2n+5 and so the next number is 17

3n - 7

It is Un = 3n - 7.

It is a finite numerical sequence and according to Wittgenstein's Finite Rule Paradox every finite sequence of numbers can be a described in infinitely many ways - some simple, some complicated but all equally valid. The simplest rule here is a cubic rule.

Un = 4n - 13.

The nth term is: 3n+2 and so the next number will be 20

For a linear sequence (same differences) look for the difference first. E.g.7, 11, 15, 19 ...This has a difference of 4 so the first part of the rule is 4n. (the rule follows the 4 times table)Now compare the sequence to the 4 times table7, 11, 15, 19 ...4, 8, 12, 16 ...Out sequence is always 3 larger than the four times table so we adjust our rule by adding 3. So our final rule is 4n + 3.

There are infinitely many possible answers. The simplest, linear, rule is Un = 4n - 17 for n = 1, 2, 3, ...

fsedaz sd

Anything you like. You specify whatever rule you like and the resulting set of numbers is the sequence based on that rule.