The number of bottles in a full box is 12.
<u><em>Explanation</em></u>
Suppose, the number of bottles in a full box is
So, the number of bottles in <u>three</u> full boxes
Now, two more boxes are added, both of which have <u>one fewer bottle than the other three</u>. So, the number of bottles in these two boxes
As there were 9 bottles initially and now there are 67 bottles in the fridge, <em><u>so the equation will be</u></em>....
Thus, the number of bottles in a full box is 12.
Answer:
Step-by-step explanation:
<u>Arithmetic Sequences</u>
The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The equation to calculate the nth term of an arithmetic sequence is:
Where
an = nth term
a1 = first term
r = common difference
n = number of the term
We are given the first terms of a sequence:
-12, -28, -44,...
Find the common difference by subtracting consecutive terms:
r = -28 - (-12) = -16
r = -44 - (-28) = -16
The first term is a1 = -12. Now we calculate the term n=61:
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