| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.95 |
| Score | 0% | 79% |
What is the next number in this sequence: 1, 3, 7, 13, 21, __________ ?
| 31 | |
| 26 | |
| 22 | |
| 27 |
The equation for this sequence is:
an = an-1 + 2(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 + 2(6 - 1)
a6 = 21 + 2(5)
a6 = 31
10 members of a bridal party need transported to a wedding reception but there are only 2 4-passenger taxis available to take them. How many will need to find other transportation?
| 5 | |
| 6 | |
| 2 | |
| 9 |
There are 2 4-passenger taxis available so that's 2 x 4 = 8 total seats. There are 10 people needing transportation leaving 10 - 8 = 2 who will have to find other transportation.
How many hours does it take a car to travel 440 miles at an average speed of 55 miles per hour?
| 5 hours | |
| 9 hours | |
| 2 hours | |
| 8 hours |
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 = \( \frac{440mi}{55mph} \)
8 hours
What is the next number in this sequence: 1, 10, 19, 28, 37, __________ ?
| 46 | |
| 41 | |
| 53 | |
| 49 |
The equation for this sequence is:
an = an-1 + 9
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 + 9
a6 = 37 + 9
a6 = 46
Find the average of the following numbers: 15, 9, 16, 8.
| 9 | |
| 11 | |
| 12 | |
| 13 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{15 + 9 + 16 + 8}{4} \) = \( \frac{48}{4} \) = 12