Question

Find the nth term of this number sequence 1, 7, 13, 19, .. .​

Answer 1

`a_(n)` = 6n - 5

Explanation:

there is a common difference between consecutive terms in the sequence

7 - 1 = 13 - 7 = 19 - 13 = 6

this indicates the sequence is arithmetic with nth term

`a_(n)` = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 1 and d = 6 , then

`a_(n)` = 1 + 6(n - 1) = 1 + 6n - 6 = 6n - 5