Question

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?

Answer 1

Answer:

a. f(n)=0.6n + 1.9

Step-by-step explanation:

got it right in edgenuity 2020. :)

Answer 2

We first determine the term-to-term rule in this sequence. 

$3.1-2.5=0.6$
$3.7-3.1=0.6$
$4.3-3.7=0.6$

We see that the term-to-term rule is adding 0.6 and the sequence is an Arithmetic sequence.

The formula to find the $n^{th}$ term in an Arithmetic sequence is given
$dn+ 0^{th} term$, where d is the difference between term

Hence for the sequence above, the equation is $0.6n+1.9$