1: write a function rule to represent the sequence.
0.3, 0.9, 1.5, 2.1,

a. a(n) = 0.6+(m-1)0.3
b. a(n) = 0.6- (n)0.3
c. a(n) = 0.3+(n-1)0.6
d. a(n) = 0.3+(n+1)0.6

2: write a function rule to represent the sequence.
47, 32, 17, 2,

a. a(n) = 47+ (n-1)15
b. a(n) = 47+ (n-)
c. a(n) = 47+ (n-)
d. a(n) = 32+ (n-1)15

The correct answers are:

C) a(n) = 0.3+(n-1)0.6 ; and

C) a(n) = 47+ (n-1)(-15)

Explanation:

#1) This is an arithmetic sequence, since we are adding the same value to each term to find the next term. We add 0.6 each time, so this is the common difference. The first term is 0.3. This goes in the formula

#2) This is also an arithmetic sequence. This time, we add -15. The first term of this one is 47. This gives us:

-1, -2, -3, -4, -6

step-by-step explanation:

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)