This sequence represents the diameters of circles used to create an art project: 2.5 cm, 3.1 cm, 3.7 cm, 4.3 cm Let f(n) represent diameter in centimeters and n the term number in the sequence. Which equation represents the sequence of diameters? f(n) = 0.6n + 1.9 f(n) = 0.6n + 2.5 f(n + 1) = f(n) + 1.9 f(n + 1) = f(n) – 0.6

Step-by-step explanation:

Given the sequence that represents the diameter of a circle

2.5 cm, 3.1 cm, 3.7 cm and 4.3 cm. This sequence forms an arithmetic progression with a common difference.

nth term of an arithmetic progression is expressed as

a is the first term of the sequence

n is the number of terms

d is the common difference.

From the sequence above, the first term a = 2.5

common difference = 3.1-2.5 = 3.7-3.1 = 4.3-3.7 = 0.6

Substituting this given values into the formula above will give;

If f(n) represent diameter in centimetres and n the term number in the sequence, the equation that represents the sequence of diameters is

f(n) = 1.9+0.6n

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graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.

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step-by-step explanation: