each day Ashley practices free throws. The first day she takes 12 shots, and every day after she takes 2 more than the previous day. How many free throws will she shoot on the 6th day. Thank you. =)
This is an AP, where a = 12, and d = 2
sum(6) = (6/2)(24 + 5(2)) , using our formula
= 3(34)
= 102
or
... if you don't know what an arithmetic sequence is:
day1 = 12
day2 = 14
day3 = 16
day4 = 18
day5 = 20
day6 = 22
add them up to get 102
To find out how many free throws Ashley will shoot on the 6th day, we need to identify the pattern in the number of shots she takes each day.
Given that Ashley takes 12 shots on the first day, we can find the number of shots on the following days using the pattern that states she takes 2 more shots than the previous day.
Let's calculate the number of shots for each day:
On the 2nd day: 12 + 2 = 14 shots
On the 3rd day: 14 + 2 = 16 shots
On the 4th day: 16 + 2 = 18 shots
On the 5th day: 18 + 2 = 20 shots
On the 6th day: 20 + 2 = 22 shots
Therefore, Ashley will shoot 22 free throws on the 6th day.