A boxer takes 3 drinks of water between each round for the first four rounds of a championship fight. After the fourth round he starts to take his three drinks plus one additional drink between each of the remaining rounds. If he continues to increase his drinks by 1 after each round, how many drinks will he take between the 14th and 15th round

Question

Mathematics

Macey Middleton

5 October, 22:07

A boxer takes 3 drinks of water between each round for the first four rounds of a championship fight. After the fourth round he starts to take his three drinks plus one additional drink between each of the remaining rounds. If he continues to increase his drinks by 1 after each round, how many drinks will he take between the 14th and 15th round

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Answers (1)

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Annabel Shelton · Answer 1

56 drinks

Step-by-step explanation:

Given

n = 15-4 = 11 rounds (with one additional drink)

a₀ = 3*4 = 12 drinks (between the first and the fourth round)

r = 4 (number of drinks per round)

We can use the formula

aₙ = a₀ + n*r

⇒ a₁₁ = 12 + 11*4 = 12 + 44

⇒ a₁₁ = 56 drinks