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SITUATION #1
It was Ally’s first time playing Among us and she wanted to play the impostor for as many games as she could before going back to her school work. She already played for a while and she got the role of impostor during the 3rd game, the 7th game, and the 11th game. She got to play as the impostor every 4 games.
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PROBLEM
How many games until she gets to be an impostor for the 13th time?
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n = 13
a1 = 3
d = 4
an = a1 + (n - 1)
a13 = 3 + (13 - 1) 4
a13 = 3 + (12) 4
a13 = 3 + 48
a13 = 51
SITUATION #2
Oh no! Ally’s mom caught her playing and she wanted her to be back minding her school work first but per school work, she would be able to finish it for 30 minutes. She has 7 school works and 10 minutes is added every time she finishes one school work because it’s increasingly hard.
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PROBLEM
How many hours before she could play again?
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n = 7
a1 = 30
d = 10
Sn = n/2 2a1+(n-1) d
S7 = 7/2 [ 2(30)+(7-1)10 ]
S7 = 3.5 [ 60+(6)10 ]
S7 = 3.5 ( 60+60)
S7 = 3.5 (120)
S7 = 420 mins.
420 mins. X 1hr / 60 mins. = 7 hrs.
S7 = 7 hrs
MEMBERS
Atienza, Sophia Marie
Gapas, Ally Madison
Castillejo, Christian John
Rabanes, Tristan Jude