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lions [1.4K]
3 years ago
10

Please help. Marika is training for a race.

Mathematics
1 answer:
Anika [276]3 years ago
3 0

Let's call n the number of days Marika's been training for the race, and a_n the distance she runs on the nth day in meters. After the first day, when n = 1, she runs 100 meters, so


a_1=100


On the second day, she runs an additional 4 meters, on the third day, another 4, and so on. Here's what that looks like mathematically:


a_2=100 + 4\\a_3=100 + 4 + 4\\a_4=100+4+4+4


It would be easier to write this continued addition as multiplication, in which case those same equations would look like


a_2 = 100 + 4(1)\\a_3 = 100 + 4(2)\\a_4=100+4(3)


Notice that, in every case, the number 4 is being multiplied by is 1 less than n. We could even write for our first term that a_1=100+4(0). In general, we can say that


a_n=100+4(n-1)


Which is expressed by option B.


(Bonus: What piece of information from this question did we not need to use here?)

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