Question

The first term of a sequence is 19. The term-to-term

rule is to add 14 each time.
What is the nth term rule for the sequence?

Answer 1

`a_n=14n+5`

Explanation:

`a_n=a_1+(n-1)d\\a_n=19+(n-1)(14)\\a_n=19+14n-14\\a_n=14n+5`

Here, the common difference is
`d=14` since 14 is being added each subsequent term, and the first term is
`a_1=19`.