Question

Given 4,7,10,13. Determine a rule to describe the general term, Tn.​

Answer 1

`T_(n)` = 3n + 1

Explanation:

There is a common difference between consecutive terms, that is

7 - 4 = 10 - 7 = 13 - 10 = 3

This indicates the sequence is arithmetic with nth term

`T_(n)` = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 4 and d = 3 , then

`T_(n)` = 4 + 3(n - 1) = 4 + 3n - 3 = 3n + 1