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# The number of people that enter a contest the 1st day is 25. The 2nd day 31 people enter, and 37 people enter on the 3rd day. This pattern c

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The number of people that enter a contest the 1st day is 25. The 2nd day 31 people enter, and 37 people
enter on the 3rd day. This pattern continues and the contest lasts 28 days.
What is the total number of people that enter the contest? Write the arithmetic series formula you used
to determine the total number of people and show all steps used to find the solution

Apr 8, 2022

#1
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$$a_n=25+6\left(n-1\right)$$

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Apr 8, 2022
#2
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lol i feel bad for the rhino

He was composing his answer while this other kid came and typed it

he might be wrong for all i know

Apr 8, 2022
#3
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The formula for the sum of an arithmetic series is:  Sum  =  n(f + l)/2

n = number of terms = 28

f = first term = 25

l = last term =  not yet known

The formula for the last term of an arithmetic series is:  l = f + (n-1)d

f = first term = 25

n = number of terms = 28

d = common difference = 6

----->     l  =  25 + (28 - 1)·6  =  187

Sum  =  28(25 + 187)/2  =  answer ...

Apr 8, 2022