Question

ellen is playing a video game in which she captures butterflies.there are 3 butterflies on screen, but the number of butterflies doubles every minute.after 4 minutes, she was able to capture 7 of the butterflies

Answer 1

Answer:

Step-by-step explanation:

Ellen is playing a video game in which she captures butterflies.there are 3 butterflies on screen, but the number of butterflies doubles every minute.after 4 minutes, she was able to capture 7 of the butterflies

Initial buttlerfies =3

Since doubles every minute, the no of butterflies follow a geometric progression, with first term =3, and common ratio =2

Hence in 4 minutes no of butterflies = 3(2)^(4-1) = 3(8) =24

So in 4 minutes no of butter flies =24

NO of buttlerflies captured = 7

Remaining butterflies = 17

Answer 2

3 butterflies in 1 minute, 6 in two, 12 in three, 24 in four.
If she was able to capture seven of twenty four butterflies, then, 24-7= 17 butterflies were left on the screen.
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