Mathematics: Kevin can travel 22.50 miles in 0.3. what is his average speed in miles per hour?

Kevin can travel 22.50 miles in 0.3. what is - id2250034761003, riveranikki2

Ответ:

viridianasar5158

03.04.2022

Mathematics

D. $a_n =3(-2)^{n-1}$

Step-by-step explanation:

Let's try each rule with some numbers:

Rule A. $a_n=2(-3)^{n-1}$

$n=1, a_n=2(-3)^{1-1}=2(-3)^{0}=2(1)=2$

$n=2, a_n=2(-3)^{2-1}=2(-3)^{1}=2(-3)=-6$

$n=3, a_n=2(-3)^{3-1}=2(-3)^{2}=2(9)=18$

Rule B. $a_n =3(2)^{n-1}$

$n=1, a_n=3(2)^{1-1}=3(2)^{0}=3(1)=3$

$n=2,a_n=3(2)^{2-1}=3(2)^{1}=3(2)=6$

$n=3, a_n=3(2)^{3-1}=3(2)^{2}=3(4)=12$

Rule C. a_n =3(-2)^n

n=1, a_n=3(-2)^1=3(-2)=-6

n=2,a_n=3(-2)^2=3(4)=12

n=3,a_n=3(-2)^3=3(-8)=-24

Rule D. $a_n =3(-2)^{n-1}$

$n=1, a_n =3(-2)^{1-1}=3(-2)^{0}=3$

$n=2,a_n =3(-2)^{2-1}=3(-2)^{1}=3(-2)=-6$

$n=3,a_n =3(-2)^{3-1}=3(-2)^{2}=3(4)=12$

The only rule that has two consecutive values of the sequence when evaluated and starts with 3 is the rule D, first has a 3 and then a -6. It is the rule that generates the most similar sequence.

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Kevin can travel 22.50 miles in 0.3. what is his average speed in miles per hour?

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