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Each trip, a bus drops off more fans at a concert. On the first trip, the bus dropped off 30. On the 14th trip, which was the last one, the bus dropped off 95 fans. How many fans did the bus deliver to the concert in total

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Janay1012
the answer is 875! I hope this helps

Answer: There are 875 fans the bus deliver to the concert in total.

Step-by-step explanation:

Since we have given that

On the first trip, the bus dropped off = 30

Here a = first term = 30

On the 14 trip, the last trip, the bus dropped off = 95

i.e. [tex]a_{14}=95[/tex]

So, the total number of fans the bus deliver to the concert is given by

[tex]S_{14}=\frac{n}{2}(a+a_n)\\\\S_{14}=\frac{14}{2}(30+95)\\\\S_{14}=7(30+95)\\\\S_{14}=125\times 7\\\\S_{14}=875[/tex]

Hence, there are 875 fans the bus deliver to the concert in total.

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