smithtamarshae
17.11.2020 •
Mathematics
In the arithmetic sequence 5,2,-1,-4 what term is -25?
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Ответ:
Thus, the eleventh term is -25.
Step-by-step explanation:
Arithmetic Sequences
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 sequence:
5,2,-1,-4,...
We can directly find the common difference by subtracting two successive terms:
r = 2 - 5 = -3
The same result is obtained by subtracting any pair of successive terms.
The first term is a1 = 5. The general equation is:
We need to find which term is -25, thus:
-3n + 8 = -25
Subtracting 8:
-3n = -25 - 8 = -33
Dividing by -3:
n = -33 / (-3)
n = 11
Thus, the eleventh term is -25.
Ответ:
every other student who enters the school
Step-by-step explanation:
It is given that the middle school students have an average height of 5.25 feet. The students belongs to Seton Grove School.
It means that every student who comes to this school or enters the school has a height that is around 5 feet or more.
Thus we can say that every other student who enters the school has a average height of 5.25 feet.
This sample makes the generalization about the heights of the school students valid.