One morning Dave sent copies of an email message to Alvin, Simon, and Theodore that said the following: “You are one of my dearest friends. If you care about me, send a copy of this letter to two of your dearest friends tomorrow. If you do not break this chain, you will live long and prosper.” The boys followed the directions: the next day they each sent a copy of the message to two of their dearest friends (other than each other). The following day, each of the recipients did the same. Count the day Dave sent the three original messages as the first day, and assume the chain is unbroken. A. How many copies of the message will be sent on the fifth day? B. Find the n-rule that will show how many copies of the message will sent on the n-th day.
One morning Dave sent copies of an email message to Alvin, Simon, and Theodore that said the following: “You are one of my dearest friends. If you care about me, send a copy of this letter to two of your dearest friends tomorrow. If you do not break this chain, you will live long and prosper.” The boys followed the directions: the next day they each sent a copy of the message to two of their dearest friends (other than each other). The following day, each of the recipients did the same. Count the day Dave sent the three original messages as the first day, and assume the chain is unbroken. A. How many copies of the message will be sent on the fifth day? B. Find the n-rule that will show how many copies of the message will sent on the n-th day.
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