QUESTION 3 john sends out a chain letter, in which he says that the recipient will get incredible good luck if the chain is continued, and terrible luck if it isn't. John sends the letter to 10 people, and instructs them that to continue the chain, they must each send it out to ten more people. Only half the people actually follow john's instructions, in fact, for each subsequent set of chain letters sent out, only half the people follow instructions Count the oth level of this chain to be john, the 1st level of this chain to be the five people who follow the instructions in John's letter, and so on. How many people will be at the 8th level of this chain (ie how many people will send out letters at this level)?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Question 3**

John sends out a chain letter, in which he says that the recipient will get incredible good luck if the chain is continued, and terrible luck if it isn't. John sends the letter to 10 people, and instructs them that to continue the chain, they must each send it out to ten more people.

Only half the people actually follow John's instructions. In fact, for each subsequent set of chain letters sent out, only half the people follow instructions.

Count: the 0th level of this chain to be John, the 1st level of this chain to be the five people who follow the instructions in John's letter, and so on. How many people will be at the 8th level of this chain (i.e., how many people will send out letters at this level)?
Transcribed Image Text:**Question 3** John sends out a chain letter, in which he says that the recipient will get incredible good luck if the chain is continued, and terrible luck if it isn't. John sends the letter to 10 people, and instructs them that to continue the chain, they must each send it out to ten more people. Only half the people actually follow John's instructions. In fact, for each subsequent set of chain letters sent out, only half the people follow instructions. Count: the 0th level of this chain to be John, the 1st level of this chain to be the five people who follow the instructions in John's letter, and so on. How many people will be at the 8th level of this chain (i.e., how many people will send out letters at this level)?
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