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consider a distance of 3m b/w a lizard and an insect.. to capture insect lizard starts moving towards it.If lizard covers 1m in first step 0.5m in next 0.25 in next and so on in how many steps will lizard catch insect.

consider a distance of 3m b/w a lizard and an insect.. to capture insect lizard starts moving towards it.If lizard covers 1m in first step 0.5m in next 0.25 in next and so on in how many steps will lizard catch insect.

Grade:11

1 Answers

AskiitianExpert Shine
10 Points
12 years ago

Hi

It cannot reach the insect. Its a geometric progression with common ratio = 0.5 , and the sum of infinite sries too gives a summ of 2, therefore even after infinite steps it wud be able to come to 2 m.

Solve using the formula fr geometric progression for n= infinity

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