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What is a proportion?
An equation that shows two ratios are equal.
The diameter of a circle is 18 cm. What is its area to the nearest tenth? (Use π ≈ 3.14)
254.3 cm²
What is the term for the constant added to the preceding term in an arithmetic sequence?
Common difference
How is a number in the Fibonacci sequence derived?
By adding the two previous numbers in the sequence.
If the second difference of a sequence is constant, the sequence is:
Quadratic
A number is directly proportional to another when as one value increases, the other value does what?
Also increases.
What is the circumference of a circle?
The distance around the circle.
What is the 24th term of an arithmetic sequence with a first term of 12 and a common difference of 5?
127
Who introduced the Fibonacci sequence to Western European mathematics?
Leonardo of Pisa, also known as "Fibonacci".
The general formula for the nth term of a quadratic sequence is an=an2+bn+c. What is the constant 'b' related to?
The first term of the first differences
What does the variable 'r' represent in the formula for the area of a circle?
radius
A circle has a circumference of 13.502 cm. What is its diameter? (Use π ≈ 3.14)
4.3 cm
The first term of an arithmetic sequence is 5, and the common difference is 4. What is the 10th term?
49
What is a geometric sequence?
A sequence of numbers where, to get from one term to the next, you multiply by a fixed number.
When are two quantities considered inversely proportional?
When a decrease in one quantity corresponds to a constant increase in the other.
If the radius of a circle is 7 cm, what is its area to the nearest tenth? (Use π ≈ 3.14)
A = 153.9 cm2
A circle has a circumference of 28.26 cm. What is its radius? (Use π ≈ 3.14)
4.5 cm
What is an arithmetic series?
The sum of the first n terms of an arithmetic sequence.
What is the "common ratio" in a geometric sequence?
The fixed number you multiply by to get the next term.
If 4 men take 10 days to build a brick wall, how many days will it take 20 men to build the same wall?
2 days
The diameter of a circle is 18 cm. What is its radius?
9cm
A wheel has a diameter of 70 cm. How far will it travel in one complete rotation? (Use π ≈ 3.14)
219.8 cm
What is the sum of the first 21 terms of the arithmetic sequence 2, 4, 6, 8, 10, ...?
462
The formula for the nth term of a geometric sequence is given as an=a1 rn-1. What does a1 represent?
The first term
In the formula an=an2+bn+c for a quadratic sequence, what is the constant 'c' related to?
The first term of the original sequence.