Sequences: find a formula for 2, 4, 11, 16, 22, 29, ....

[fred2028]

So say that you were given:

2, 4, 7, 11, 16, 22, 29, ...

This is a sequence in which you add 2, 3, 4, 5, 6, ... to the previous term. After 10 minutes of trial and error, I got the equation to be

. . .T_n = T_(n-1) + n

This was from trial and error though. How can I do it logically?

 

[stapel]

You could use the method of common differences.

Eliz.