Question

Nth term of 12 16 20 24 28

Answer 1

32, you are adding 4 to each number

Answer 2

Notice that the pattern of the data set is the previous term plus 4.  This is an arithmetic sequence where the difference (d) is +4.

$a_{n}$ = a₁ + d(n - 1)   ; where a₁ is the first term, d is the difference, and n is the term.

$a_{n}$ = 12 + 4(n - 1)

$a_{n}$ = 12 + 4n - 4

$a_{n}$ = 4n + 8