Model the number of push-ups Scott will complete on any given day using an explicit formula. Aly is also including push-ups in her workout and says she does more push-ups than Scott because she does fifteen pushups everyday. Is she correct? Explain 7. Chain emails rely on each person that receives the email to forward it on. Have you ever wondered how many people might receive the email if the chain remains unbroken? To figure this out, assume that it takes a day for the email to be opened, forwarded, and then received by the next person. On day 1, Bill Weights starts by sending the email out to his 8 closest friends. They each forward it to 10 people so that on day 2, it is received by 80 people. The chain continues unbroken. a) How many people will receive the email on day 7? b) How many people with receive the email on day n? c) If Bill gives away a Super Bowl that costs $4.95 to every person that receives the email the first week, how much money will he have spent? 8. Mr. and Mrs. Gloop want their son, Augustus, to do his homework every day. Augustus loves to eat candy, so his parents have decided to motivate him to do his homework by giving him candies for each day that the homework is complete. Mr. Gloop says that on the first day that Augustus turns in his homework, he will give him 10 candies. On the second day he promises to give 20 candies, on the third day he will give 30 candies, and so on. a) Is this a geometric or arithmetic sequence? Explain how you know.
Model the number of push-ups Scott will complete on any given day using an explicit formula. Aly is also including push-ups in her workout and says she does more push-ups than Scott because she does fifteen pushups everyday. Is she correct? Explain 7. Chain emails rely on each person that receives the email to forward it on. Have you ever wondered how many people might receive the email if the chain remains unbroken? To figure this out, assume that it takes a day for the email to be opened, forwarded, and then received by the next person. On day 1, Bill Weights starts by sending the email out to his 8 closest friends. They each forward it to 10 people so that on day 2, it is received by 80 people. The chain continues unbroken. a) How many people will receive the email on day 7? b) How many people with receive the email on day n? c) If Bill gives away a Super Bowl that costs $4.95 to every person that receives the email the first week, how much money will he have spent? 8. Mr. and Mrs. Gloop want their son, Augustus, to do his homework every day. Augustus loves to eat candy, so his parents have decided to motivate him to do his homework by giving him candies for each day that the homework is complete. Mr. Gloop says that on the first day that Augustus turns in his homework, he will give him 10 candies. On the second day he promises to give 20 candies, on the third day he will give 30 candies, and so on. a) Is this a geometric or arithmetic sequence? Explain how you know.
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