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Suppose you call the first two friends at 12:05 and you are satisfied because youve shared your secret, so you dont tell anybody else. Unfortunately,

Suppose you call the first two friends at 12:05 and you are satisfied because youve shared your secret, so you dont tell anybody else. Unfortunately, none of your friends can keep a secret. Like you, they just need to tell two friends, but then each of those friends needs to tell two friends, and so on.

Write an equation to find the Number of people told for any 5-minute interval in Scenario B.

Time

5 minute interval

Number of people told

Number of people who know

12:00

0

0

1

12:05

1

2

3

12:10

2

6

7

12:15

3

14

15

12:20

4

30

31

12:25

5

62

63

12:30

6

126

127

12:35

7

254

255

12:40

8

510

511

12:45

9

1022

1023

12:50

10

2046

2047

12:55

11

4094

4095

1:00

12

8190

8191

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