# math 12

posted by .

While training for a race, a runner increases her distance by 10% each day. If she runs 2km on the first day, what will her total distance for 26 days of training?

• math 12 -

42

• math 12 -

2* (1 +1.1 + 1.1^2+ 1.1^3 +....1.1^25
geometric series with r = 1.1, n=26, a = 1
2 [ar^0 + ar^1 + ar^2 .. + a r^(n-1)]
=2 [ (r^n -1) / (r-1) ]
=2 [ (10.9)/(.1)]
=218km

## Similar Questions

1. ### physics

While doing some interval training, a runner runs a distance interval at a pace of 4.00 m/s. She then runs the next interval at 4.500 m/s and the last interval at 5.500 m/s. Assuming each interval is exactly 125. m, what is her average …
2. ### Physics

Two runners have a race. The first runner decides to run with his full speed v₁=9 m/s over the 250 meters of the race and then slows to v₂=7 m/s for the rest, since he's tired. The second runner wants to save energy, so …
3. ### Math

Jim and joe are training for a big race by running a total of 60 laps around the school track. On the first day, and on each day after, Jim runs 5 laps around the track. On the first day and on each day after, Joe runs 6 lays. How …
4. ### Math

Kyle is training for a bike race. He rides 5 miles one day, 10 miles the next day, and 15 miles the third day. If Kyle repeats this schedule, what is the total distance he will have ridden after 5 days?
5. ### math

On the first day he runs 1.5 km. Every day he runs 10% more than the day befor. a) Write down the distance he runs on the second day of training. ..... 1,5km +0,15 = 1,65 km b) Calculate the total distance He runs in the first seven …
6. ### Math

1. "A bacteria population doubles in number every 3 hours. If there are 40 individuals now, how many in 24 hours?
7. ### Physics

During a rElay race along a straight ROAD the 1st runner on a three person team runs D1 with a constant velocity v1. The runner then hands off the baton to the sEcond runner who runs d2 with a constant vElocity v2. The batton is then …
8. ### Math

My problem is: "Will ran four miles on his first day of training. The next day he ran 1/3 of that distance. How far did he run the second day" I need help. I think it is either 1 or it is 3 and 1/4. I'm undecided.
9. ### Math

Gina was training for a marathon. On the first day of her training, she ran 10 yards. On the second day of her training, she ran 10,000 inches. On the last day of her training, she ran 1000 feet. How much did Gina run in all
10. ### Math

0 Tutors Online Right Now Math 20-1 Help What is this?

More Similar Questions