Question

Thi equence repreent the diameter of circle ued to create an art project 2. 5 cm, 3. 1cm, 3. 7cm,4. 3cm let f(n) repreent diameter in centimeter

Answer 1

The equation for the given sequence representing the diameter of the circle is

f(n) = f(n-1) + 0.6, where f(1) = 2.5

Given, a sequence of diameters of a circle used to create an art project

2.5 , 3.1 , 3.7 , 4.3

We have to find a sequence that represents the diameter of the given circle,

Let f(n) be representing the diameter of the circle,

Now, for n = 1

f(n) = 2.5

for n = 2

f(n) = 3.1

for n = 3

f(n) = 3.7

for n = 4

f(n) = 4.3

As, f(2) = f(1) + 0.6 and so,

So, f(n) = f(n-1) + 0.6

Hence, the equation for the given sequence representing the diameter of the circle is

f(n) = f(n-1) + 0.6, where f(1) = 2.5

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