| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.51 |
| Score | 0% | 70% |
4! = ?
4 x 3 x 2 x 1 |
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4 x 3 |
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5 x 4 x 3 x 2 x 1 |
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3 x 2 x 1 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
Solve for \( \frac{6!}{5!} \)
| 6 | |
| 1680 | |
| 840 | |
| 15120 |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{6!}{5!} \)
\( \frac{6 \times 5 \times 4 \times 3 \times 2 \times 1}{5 \times 4 \times 3 \times 2 \times 1} \)
\( \frac{6}{1} \)
6
Which of the following statements about exponents is false?
b1 = 1 |
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b1 = b |
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all of these are false |
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b0 = 1 |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).
The __________ is the greatest factor that divides two integers.
greatest common multiple |
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greatest common factor |
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least common multiple |
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absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.
What is the next number in this sequence: 1, 7, 13, 19, 25, __________ ?
| 34 | |
| 31 | |
| 39 | |
| 25 |
The equation for this sequence is:
an = an-1 + 6
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 6
a6 = 25 + 6
a6 = 31