2.
the recursive formula for a sequence of numbers is shown.
a = -9
an = an-1-4
which equation would produce the same sequence of numbers as the recursive formula shown?
a. f(n) = -5 -4n
b. f(n) = -5n - 4
c. f(n) = – 9n
d. f(n) = n - 4

work?

Option A) f(n)=-5-4n is correct.

The equation would produce the same sequence of numbers as the recursive formula is f(n)=-5-4n

Step-by-step explanation:

Given that a=-9 and

The recursive formula is

Therefore d=-4

Let and d=-4

We can find

Therefore

Therefore  and so on.

Therefore the arithmetic sequence is

Option A) f(n)=-5-4n is correct.

f(n)=-5-4n

put n=1 in f(n)=-5-4n

f(1)=-5-4(1)

=-9

Therefore f(1)=-9

put n=2 in f(n)=-5-4n

f(21)=-5-4(2)

=-5-8

Therefore f(2)=-13

put n=3 we get f(n)=-5-4n

f(3)=-5-4(3)

=-5-12

Therefore f(3)=-17  and so on .

Therefore the sequence is  

Therefore the equation would produce the same sequence of numbers as the recursive formula is f(n)=-5-4n

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.

answer: 1 + 1 = 11

step-by-step explanation: