Drag each tile to the correct box. not all tiles will be used. consider the recursively defined function below. create the first five terms of the sequence defined by the given function

  -5.25, -3.5, -1.75, 0, 1.75

Step-by-step explanation:

The recursive relation tells you this is an arithmetic sequence with a common difference of 1.75. Each term is 1.75 more than the one before.

To find the 2nd term, add 1.75 to the first term: -5.25 + 1.75 = -3.5

To find the 3rd term, add 1.75 to the second term: -3.5 + 1.75 = -1.75

To find the 4th term, add 1.75 to the third term: -1.75 + 1.75 = 0

and so on ...

 -5.25, -3.5, -1.75, 0, 1.75

The recursive relation tells you this is an arithmetic sequence with a common difference of 1.75. Each term is 1.75 more than the one before.

To find the 2nd term, add 1.75 to the first term: -5.25 + 1.75 = -3.5

To find the 3rd term, add 1.75 to the second term: -3.5 + 1.75 = -1.75

To find the 4th term, add 1.75 to the third term: -1.75 + 1.75 = 0

To find the 5th term, add 1.75 to the forth term: 0 + 1.75 = 1.75

Step-by-step explanation:

The given function is defined recursively by;

When n=2,

When n=3,

When n=4,

f(2) = 22  f(3) = 48.4 and f(4) = 106.48

Step-by-step explanation:

Recursively defined function is f(n) = 2.2 [ f(n-1) ] Here, f(1) = 10 then we have to create the first three terms of the sequence defined by the function.

Since f(1) = 10

f(2) = 2.2 [ f (2-1) ] = 2.2 [ f (1) ]

     = 2.2 × 10 = 22

f (3) = 2.2 [ f (3-1)] = 2.2 × [ f (2) ]

      = 2.2 × 22 = 48.4

f(4)  = 2.2 [ f(4-1) ] = 2.2 [ f(3) ]

     = 2.2 × 48.4 = 106.48

Answer is f(2) = 22  f(3) = 48.4 and f(4) = 106.48

The first five terms of given sequence are: -5.25, -3.5, -1.75, 0 and 1.75

Step-by-step explanation:

Given

f(1) = -5.25

Putting n=2

Putting n=3

Putting n=4

Putting n=5

The first five terms of given sequence are: -5.25, -3.5, -1.75, 0 and 1.75

Keywords: Sequence, Function

Learn more about sequence at:

#LearnwithBrainly

N=1→f(n)=f(1)=-5.25 (First term)
f(n)=f(n-1)+1.75, for n=2, 3, 4, ...

Second term:
n=2→f(2)=f(2-1)+1.75=f(1)+1.75=-5.25+1.75→f(2)=-3.5

Third term:
n=3→f(3)=f(3-1)+1.75=f(2)+1.75=-3.5+1.75→f(3)=-1.75

Fourth term:
n=4→f(4)=f(4-1)+1.75=f(3)+1.75=-1.75+1.75→f(4)=0

Fifth term:
n=5→f(5)=f(5-1)+1.75=f(4)+1.75=0+1.75→f(5)=1.75

Sequence of the terms:
First, second, third, fourth, fifth:
-5.25, -3.5, -1.75, 0, 1.75

It should be unique with any