Unit 6 Review.

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Presentation transcript:

Unit 6 Review

Standard 6.4 I can find the position of any term in a sequence.

For the following sequence 5, 15, 45, … what term will 32805 be? For the following sequence -45,-33, -21 … what term will 99 be?

Standard 6.6 given summation notation, I can find the sum of a sequence.

Standard 6.7 I can write a series using summation notation and given summation notation write the terms of a series.

34, -68, 136, -272, 544

Write the summation notation for the last six terms: 2, 15, 28, 41, 54, 67, 80, 93, 106, 119 Write the summation notation for the following sequence -5, 2, 9, 16, 23, 30, 37, 44, 51, 58

Standard 6.8 I can determine if an infinite geometric series converges or diverges and evaluate if possible.

Determine whether the infinite geometric series converges or diverges Write the summation notation Evaluate the series when possible 48, 24, 12, 6, …

Determine whether the infinite geometric series converges or diverges Write the summation notation Evaluate the series when possible 5, 10, 20, 40, …

Standard 6.5 I can solve real world problems using sequence and series.

A writer wrote 890 words on the first day, 760 on the second day, and 630 on the thrid day. How many words did the wrtier write in a week?

Suppose you deposit one cent into your piggy bank on the first day of December and on each day of December after that, you deposit twice as much as the previous day. How much will you have after 90 days?

Nick decides to start preparing for his AP exams 15 weeks ahead of the exams. Nick starts studying for hours the first week and plans to increase the amount by 2 hours per week. How many total hours will have in by exam week.

Mr Vold is a teacher who likes writing lots of exam questions Mr Vold is a teacher who likes writing lots of exam questions. He usually starts out the semester with only 10 questions on the first exam, but for each subsequent exam he writes one and a half as many questions as were on the previous exam! If Mr. Vold wrote 20 exams in a semester how many total exam questions would they have all together?