Sequences and Functions

Tell whether the sequence is arithmetic. If it is, identify the common difference. ( , , , 0 … )

Tell whether the sequence is arithmetic. If it is, identify the common difference. (-3, -7, -10, -14,…)

(a)Common Difference

(b)Not an arithmetic sequence.

Step-by-step explanation:

An arithmetic sequence is a sequence in which the next term is obtained from the previous term by the addition of a common constant.

(a)Given the sequence:

Clearly, this is an arithmetic sequence and the common difference is

(b)Given the Sequence:

-3, -7, -10, -14 …

-7-(-3)=-7+3=-4

-10-(-7)=-10+7=-3

-14-(-10)=-14+10=-4

This is not an arithmetic sequence as the constant term is not the same all true.

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.