3.2128 is a rational number
First, we are going to find the difference,
, of our sequence. Remember that in an arithmetic sequence
, so:
Now that we have our difference, we can find the sum of the first 14 terms of our sequence using the formula:
where
is the number of terms we want to add
We now know that
,
, and
. So lets replace those values in our formula:
We can conclude that the sum of the first 14 terms of our sequence is
-791.
Answer:
The question is lacking the accompanying line plot, I found a matching line plot online:
Answers:
a) The number of minutes te greatest number of students took to do their homework = 40 minutes
b) The number of combined hours the students spent on their homework
Step-by-step explanation:
From the diagram, the greatest number of students ( 8 students) take 2/3 hours to do their homework. Converting this time to minutes:
1 hour = 60 minutes
∴ 2/3 hours = 60 × 2/3 = 120/3 = 40 minutes
∴ 40 minutes is the time the greatest number of students take to do their homework
b) combined hours those students did their homework is calculated as follows:
total time = (number of hours used by 1 student) × number of students