Given the functions f(n) = 11 and g(n) = −2(n − 1), combine them to create an arithmetic sequence, an, and solve for the 31st term.

Refer below for the explanation.

Step-by-step explanation:

As per the question we are asked to combine f(n) = 11 and g(n) = −2(n − 1), both of them to create arithmetic sequence and solve for 31st term.

So first we are about to solve and combine both of the equation which becomes ,

Fn = 11 -2(n-1)

Fn=11-2(n-1)

F31=-49

Fn=11-2(n-1)

F31=-51

Fn=11+2(n-1)

F31=71

Fn=11+2(n-1)

F31=73

constants mean the stopped points or the points on a graph that nothing is changing, hope this

step-by-step explanation:

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0