Answer of Part A is 243 Lunches
Answer of Part B is 850.50$
Here , we are provided with a table which shows 5 consecutive terms of an arithmetic sequence . But before solving further , let's recall that ;
The n'th term of a Arithmetic Sequence let's say it be
is given by ;
Where , <u>d</u> is the common difference
Now , here we are given with ;
We have to find the 2nd , 3rd and 4th term respectively ,
Now , by using the above formula , 5th term can be written as ;
Putting the values and transposing 1st term to RHS , we have ;
Now , as we got the common difference , so we can find out the missing terms now ;



Now



Also ,



Now , The given table can be written as ;

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TE/4 =U
Step by step
You multiply both sides by E to get rid of it then you have TE =4U and then u divide it by 4 and get TE/4 =U
The mean is the average, which is the sum of all the numbers divided by the total numbers there are. I will add them up for you, and then work from there.
184 + 192 + 164 + 200 = 740.
There is 740cm total, but now we need to divide by how many students we have. We have 4 students total.
740/4 = 185.
Your average (mean) height of the students is 185cm.
I hope this helps!