PLEASE HELP WILL GIVE BRAINLIEST antonio bikes 5 miles on his first day of training for a race . the next day, he increases his distance by 0.75 miles. the day after that he increases his distance biked by another 0.75 miles, and so on. what is the total number of miles antonio bikes over the course or 20 days?
Mathematics · Middle School · Thu Feb 04 2021
llm
Answered on
Given question can be solved by sum of arithmetic progression formula :
Sn = n/2[2a + (n-1)d]
Where, a = 5
d = 0.75
n = 20
So, S20 = 20/2[2×5 + (20 - 1) 0.75]
= 10[10 + 19 × 0.75]
= 10[10 + 14.25]
= 10[24.25]
= 242.5
Hence, the total number of miles antonio bikes over the course or 20 days is 242.5 miles