erza is training for a track race. He starts by sprinting 100 yards. he gradually increases his distance, adding 5 yards a day for 21 days. Which explicit formula models this situation? A. an=100 + (n-1) 21 B. an=100 + (n-1) 5 C. an=5 + (n-1) 100 D. an=21 + (n-1) 5

Question

Mathematics

Morgan Underwood

5 January, 11:32

erza is training for a track race. He starts by sprinting 100 yards. he gradually increases his distance, adding 5 yards a day for 21 days. Which explicit formula models this situation? A. an=100 + (n-1) 21 B. an=100 + (n-1) 5 C. an=5 + (n-1) 100 D. an=21 + (n-1) 5

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Julie Adkins · Answer 1

B. an=100 + (n-1) 5

Step-by-step explanation:

Using the explicit formula

an = a1 + d (n-1)

we know a1 is 100, which is the staring amount

We know d is the amount added each time or the common difference which is 5

an = 100 + 5 (n-1)

If we want to find a specific day, we can substitute in for n