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?

Step-by-step explanation:

The nth term of the arithmetic sequence is given by:

           ....[1]

where

is the first term

d is the common difference and n is the number of terms.

Here, f(n) represent diameter in centimeters and n the term number in the sequence.

Given the sequence represents the diameters of circles used to create an art project:

2.5 cm, 3.1 cm, 3.7 cm , 4.3 cm

This sequence is an arithmetic sequence with

= 2.5 and d = 0.6

Since,

3.1-2.5 = 0.6,

3.7-3.1 = 0.6

4.3-3.7 = 0.6

Substitute the given values in [1] we have;

Using distributive property, we have;

Simplify:

Therefore, the equation represents the sequence of diameters is,

answer: 2530

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