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Question 5 of 5
Drag each tile to the correct box. Not all tiles will be used. Consider the recursively defined function below. f(1) = 0.75 f(n) = f(n-1) + 0.35, for n = 2, 3, 4, ...
Create the first five terms of the sequence defined by the given function.
1.8
0.75
2.15
1.0
1.35
1.7
1.1
1.45​

Sagot :

Lanuel

Based on the calculations, the sequence defined by the given function are 0.75, 1.1, 1.45​, 1.80 and 2.15.

How to create the terms of the sequence?

In this exercise, you're required to create the first five (5) terms of the sequence defined by the given function as follows:

For the first term, we have:

f(1) = 0.75

For the second term, we have:

f(2) = f(2-1) + 0.35

f(2) = 0.75 + 0.35

f(2) = 1.1.

For the third term, we have:

f(3) = f(3-1) + 0.35

f(3) = 1.1 + 0.35

f(3) = 1.45.

For the fourth term, we have:

f(4) = f(3-1) + 0.35

f(4) = 1.45 + 0.35

f(4) = 1.80.

For the fifth term, we have:

f(5) = f(3-1) + 0.35

f(5) = 1.80 + 0.35

f(5) = 2.15.

Therefore, the sequence defined by the given function are 0.75, 1.1, 1.45​, 1.80 and 2.15.

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