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In a fitness program, Erdenebat does 20 sit ups on the first day, and increases this by 2 sit-ups everyday.

a) Write the numbers of sit-ups in the first 3 days.

b) Find the number of her sit-ups on the seventh-day.

c) Find the day that she first does 50 sit-ups.

d) When will she do 99 sit-ups? Does 99 belong to this number sequence?

 

10 schools of UBAC expressed to participate in the tournament. All the teams in the tournament have to play each other. When there is only one team, no game is needed to play. If there are two teams, one game is needed to play each of the other teams exactly once. When there are three teams in the tournament, 3 games are needed to play each of the other teams exactly once. So, on.

a) Find the number of games needed for each team play each of the other teams exactly once in 4, 5, and 6 teams.

b) Organize your findings and determine the type of sequence for the number of games.

c) Find the number of games that take place at ISU when there 10 teams.

d) Mr.Koops wants to make this tournament popular, he wants to advertise this tournaments to other schools. After his advertisement, he expects 30 schools that can participate in the tournament. In this case, how many games are needed to play each of the other teams exactly once? Without algebra or general formula, is it possible to find the number of games?

e) Find the number of games needed for each team to play each of the other teams exactly once in “n” teams.

 Apr 5, 2021
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Problem 1:

a) 20, 22, 24

b) 32

c) 16

d) Never. All the numbers will be even

Formula for b and c: If first day is a and common difference if r then formula for day n is a+r*(n-1) (Make sure you see why)

 

Problem 2:

a) 6, 10, 15

b) These are all triangle numbers. (1+2+3+4+5...+n)

c) 1+2+3+4...10=55

d) 1+2+3+4...30=465 

e) n(n-1)/2

 

Maybe pay attention next time :)

 Apr 5, 2021

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