Answer:
The general rule for the nth term of this sequence will be:
Step-by-step explanation:
Given the sequence
12a, 15a, 18a, 21a, 24a,...
An arithmetic sequence has a constant difference 'd' and is defined by
Here,
a₁ = 12a
computing the differences of all the adjacent terms
d = 15a-12a = 3a, d = 18a-15a=3a, d=21a-18a=3a, d=24a-21a=3a
using the nth term formula
substituting a₁ = 12a, d = 3a
Therefore, the general rule for the nth term of this sequence will be:
Answer:
Option C. Anna and Sara
Step-by-step explanation:
<u><em>The complete question in the attached figure</em></u>
Let
h ----> the minimum height h in inches necessary to ride a certain roller coaster
we have
The solution for this inequality is the interval [48,∞)
so
The value of h must be greater than or equal to 48 inches
<u><em>Verify who can ride the roller coaster</em></u>
1) Miguel 42 in
substitute the value of h in the inequality
----> is not true
therefore
Miguel can't ride the roller coaster
2) Patrick 45 in
substitute the value of h in the inequality
----> is not true
therefore
Patrick can't ride the roller coaster
3) Anna 48 in
substitute the value of h in the inequality
----> is true
therefore
Anna can ride the roller coaster
4) Sara 52 in
substitute the value of h in the inequality
----> is true
therefore
Sara can ride the roller coaster
