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:
Given:
Amount of flour in a bin = 30 cups
Flour required for each signature cake = cups
To find:
The correct equation and graph for the given situation.
Solution:
Let F be the amount of flour in the bin and c be the number of signature cakes.
Flour required for each signature cake = cups
Flour required for each signature cake = cups
Flour required for c signature cakes = cups
Amount of flour in a bin is 30 cups and it is reduced by 1.5c cups. So, the amount of flour in the bin is:
At , we get
At , we get
Therefore, the required equation is and the 4th graph is correct.
