Question

Formula for 4,9,14 19​

Answer 1

nth term = 5n - 1.

Explanation:

This is an arithmetic sequence.

First term a = 4 and common difference d = 5.

nth term = a + d(n -1)

= 4 + 5(n - 1)

= 5n + 4 - 5

= 5n - 1

Answer 2

`a_(n )` = 5n - 1

Explanation:

There is a common difference between consecutive terms , that is

9 - 4 = 14 - 9 = 19 - 14 = 5

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 = 4 and d = 5 , then

`a_(n)` = 4 + 5(n - 1) = 4 + 5n - 5 = 5n - 1