Write a recursive rule for the sequnce 6, 10, 14, 18, 22, ...

This is an example of a arithmetic sequence because the common difference is the same through the set of numbers;

14 - 10 = 4

18 - 14 = 4

22 - 18 = 4

Common Difference is 4.

Recursive Rule: an = a1 + (n - 1)d

an = nth term

a1 = first term

n = number of the term

d = common difference

We know that;

a1 = 10

n = placement of the number

d = 4

Put into the rule:

an = 10 + (n - 1)4

Best of Luck!

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.