Modeling with Sequences and Series Answers

Write the first four terms of the sequence. , , , , ...

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What type of series is represented?✔ arithmeticgeometricneither

How many total miles will Jeff run by the end of the week?11 miles35 miles✔ 56 miles

1415✔ 16

What type of sequence is shown below?10; 110; 1,110; 11,110; …

The common difference is .

Write the first four terms of the sequence.

While training for a marathon, Jeff wants to increase the number of miles he runs each day. On the first day of training, Jeff runs 5 miles. He plans on increasing the number of miles he runs a day by 1 for the remainder of the week. Write a series to model the situation. + + + + + +

There are 5 bacteria in a petri dish at the start of an experiment. This type of bacteria doubles every 20 minutes. Find the number of bacteria after 4 hours.

Nyah receives a chain letter and has to copy the letter and send it to 4 of her friends, who each have to copy the letter and send it to 4 other friends, and so on.Finding the number of letters sent on the nth mailing is an example of .

If everyone who receives a letter participates, how many letters will be sent on the sixth mailing?

By the sixth mailing, how many people will have participated since the start?

A ball is dropped from a height of 20 feet. With each bounce, the ball’s peak height is 50% of the previous peak. Identify the peak height after each of the first three bounces:Height after one bounce: feet Height after two bounces: feet Height after three bounces: feet

200250✔ 280