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denis23 [38]
3 years ago
12

What is the common difference between the elements of the arithmetic sequence below?

Mathematics
2 answers:
Grace [21]3 years ago
8 0
In mathematics, an arithmetic<span> progression (AP) or </span>arithmetic sequence<span> is a </span>sequence<span> of numbers such that the difference between the consecutive terms is constant. The common difference would be calculated as follows:
</span>

–36 - –31.5  = - 4.5 
–27 - –22.5  = -4.5

Therefore, the common difference is -4.5. 
fredd [130]3 years ago
3 0
All numbers in each number add up to 9, i dont know if you understand me, 
for example:
1+8=9
2+2+5=9
2+7=9
.....

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Liana's class was going on a very exciting school trip, but when Liana got to school, the school bus had already left! Frantic,
Llana [10]

Answer:

  • <u>They can catch up with the bus at 10:40 am.</u>

Explanation:

1. Set the time when Liana and her mother can leave (8:40 am) as t₀ = 0; thus the time of driving for them will be t.

2. The average speed at whic Liana's mother drive: 60 miles/hour

3. Thus, the distance they will have driven will be:

  • distance = average speed × time = 60t

4. The time the bus left was 8:00 am, which is 40 minutes before Liana and her mom can leave.

Thus, the time wil have driven when Liana and her mom have driven t hours  minutes will be: t + 40 min / 60 min/ hour = t + 2/3

5. The average speed of teh bus is 45 miles / hour

6. The distance the bus will have driven will be:

  • distance = average speed × time = 45(t + 2/3)

7. When Liana and her mother catch up with the bus, the distances driven by both of them are equal:

  • 60t = 45(t + 2/3)
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Thus, Liana and her mom can catch up with the bus after 2 hours, since 8:40 am; this is, 10:40 am.

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