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Answer:
t=6 months
Step-by-step explanation:
We are given that the number of people playing a new phone app game triples every month
When the app first launch , the number of people started playing the game right away=800
According to question
The number of peoples are currently playing the game=194,400
We solve by using the formula of geometric series because we get a geometric series pattern
The number of people playing the game when app game launch=800
The number of people playing game after one month=2400
800,2400,7200,........,194,400
We are finding common ratio
Hence, the common ratio is 3 therefor nth term of G.P
a=800,r=3,
Substitute the values then we get
When base are same on both side then the power are equals
Therefore, t-1=5
t=5+1=6
Hence, when there are 194,400 people currently playing the game then
the number of months ,t=6 that have passed since the app launched.