What are the first five terms of the sequence defined by the given function?
(1) = -6
f(n) = }(n − 1) + 2, for n = 2, 3, 4,
o a. 6,-4,-2,0, 2
b. 2, 8, 14, 20, 26
c. 6,-8.-10.-12, -14
d. 2.-4.-10.-16, -22

-6,-4,-2,0,2

is the answer if I interpreted your recursive sequence equation correctly.

Step-by-step explanation:

I'm going to assume the following:

f(1)=-6

f(n)=f(n-1)+2

They alread give you the first term is -6.

So we want to find the next 4 terms.

The second term is given by f(2).

So we replace n with 2:

f(n)=f(n-1)+2 with n=2

f(2)=f(2-1)+2

f(2)=f(1)+2

f(2)=-6+2

f(2)=-4

The third term is given by f(3).

So we replace n with 3:

f(n)=f(n-1)+2 with n=3

f(3)=f(3-1)+2

f(3)=f(2)+2

f(3)=-4+2

f(3)=-2

The fourth term is given by f(4).

We are going to replace n with 4.

f(n)=f(n-1)+2 with n=4

f(4)=f(4-1)+2

f(4)=f(3)+2

f(4)=-2+2

f(4)=0

The fifth term is given by f(5).

We will replace n with 5.

f(n)=f(n-1)+2 with n=5

f(5)=f(5-1)+2

f(5)=f(4)+2

f(5)=0+2

f(5)=2

So the first 5 terms are given by the values of:

f(1),f(2),f(3),f(4),f(5).

The values we got in order are:

-6,-4,-2,0,2

This should also make sense from reading:

f(1)=-6

f(n)=f(n-1)+2

That bottom equation says to find a term you just add 2 to the previous term. They gave us the first term was -6 and told us just to add 2 to generate the terms after.

First term is -6.

Second term is -6+2=-4.

Third term is -4+2=-2.

Fourth term is -2+2=0

Fifth tern is 0+2=2.

In the future this sequence is called an arithmetic sequence because the term and previous term has the same difference; this is called a commom difference.

true

step-by-step explanation:

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

happy to

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