Answer:
I found the Dictionary and mathematical definitions.
Step-by-step explanation:
The algebra of sets defines the properties and laws of sets, the set-theoretic operations of union, intersection, and complementation and the relations of set equality and set inclusion.
The easiest way to answer this is to try all choices, plug
in values for the 1st term and 2nd term then check if the
answer matches with 5 and 2. (n = 1 and n = 2)
We know that n starts with 1 because that is our 1st
term, we do not have 0th term, therefore that leaves us with 2
choices.
Choice 1: an = 5 − 2(n − 1); all integers where n ≥ 1
n = 1
a1 = 5 – 2 (1 – 1) = 5 – 2 (0)
a1 = 5
n = 2
a2 = 5 – 2 (2 – 1) = 5 – 2 (1)
<span>a2 = 3 (FALSE!)</span>
Choice 2: an = 5 − 3(n − 1); all integers where n ≥ 1
n = 1
a1 = 5 – 3 (1 – 1) = 5 – 3 (0)
a1 = 5
n = 2
a2 = 5 – 3 (2 – 1) = 5 – 3 (1)
<span>a2 = 2 (TRUE)</span>
Therefore the correct answer is:
<span>an = 5 − 3(n − 1); all integers where n ≥ 1</span>
A car's efficiency in terms of miles per gallon of gasoline is a function. If a car typically gets 20 mpg, and if you input 10 gallons of gasoline, it will be able to travel roughly 200 miles.
Answer:
Exact circumference is 
Approximate circumference is 
Step-by-step explanation:
We are given;
- The diameter of a circle as
We are required to determine the exact and approximate circumference of the circle.
- We know that the circumference of the circle is given by;
- Circumference = πD, where D is the diameter
Taking π as 3.14
The exact circumference of the circle is
Thus, the approximate circumference of the circle is
