| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.61 |
| Score | 0% | 72% |
What is the next number in this sequence: 1, 5, 13, 25, 41, __________ ?
| 64 | |
| 58 | |
| 66 | |
| 61 |
The equation for this sequence is:
an = an-1 + 4(n - 1)
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 + 4(6 - 1)
a6 = 41 + 4(5)
a6 = 61
Convert a-2 to remove the negative exponent.
| \( \frac{-2}{a} \) | |
| \( \frac{1}{a^2} \) | |
| \( \frac{2}{a} \) | |
| \( \frac{-2}{-a} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
How many hours does it take a car to travel 200 miles at an average speed of 50 miles per hour?
| 4 hours | |
| 8 hours | |
| 2 hours | |
| 1 hour |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{200mi}{50mph} \)
4 hours
Which of the following is an improper fraction?
\({7 \over 5} \) |
|
\({a \over 5} \) |
|
\({2 \over 5} \) |
|
\(1 {2 \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
Ezra loaned Christine $200 at an annual interest rate of 8%. If no payments are made, what is the total amount owed at the end of the first year?
| $216 | |
| $204 | |
| $214 | |
| $210 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $200
i = 0.08 x $200
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $200 + $16