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soldier1979 [14.2K]
3 years ago
8

I am standing 10 feet from a wall. I will begin to walk toward the wall and my first step is 4 feet. Each succeeding step is exa

ctly one half the distance of the prior step. So my next step would be 2 feet, then 1 foot etc. How many steps will it take me to reach the wall?
Mathematics
1 answer:
deff fn [24]3 years ago
8 0

Answer:

Never!

Step-by-step explanation:

Since each succeeding step is exactly 1/2 of the prior step, you have created an infinite geometric series that goes like 4, 2, 1, 1/2, 1/4... The formula for the sum of an infinite geometric series is a/(1-r), where a is the first term and r is the common ratio. Plugging this in, a/(1-r) = 4(1-1/2) = 4/(1/2) = 8. Therefore, you can only travel 8 feet in total and will never! reach the wall.

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Answer: See the full explanation.

Step-by-step explanation:

You can actually do this using various life scenario. Let me help you with this example.

Suppose that one person is called Mike and he needs to buy something, here is your scenario for Mike to get what he want:

Mike wants to buy a pair of shoes that worth 37$ for a soccer game next week. He only has 5$ in his wallet. In order to get the remaining money, he decides to work in a market for a day. If the market pay 8$ per hour, how many hours does Mike need to have enough money to buy the shoes?.

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