Question

Determine whether each sequence is arithmetic , geometric , or neither.explain. 7,13,19,25,...

Answer 1

7, 13, 19, 25,…
+ 6 + 6 + 6

a(n) = a₁ + d(n - 1)
a(n) = 7 + 6(n - 1)
a(n) = 7 + 6(n) - 6(1)
a(n) = 7 + 6n - 6
a(n) = 6n + 7 - 6
a(n) = 6n + 1

The sequence is arithmetic because it has a common difference of 4 in order to make sure the the function would be equal to a(n) = 6n + 1.