Sequences and Series

Which of the following is an example of a geometric sequence?

• 1,3,6,10,15,21, . . .

• 2,5,3,8,13, . . .

• 3,8,11,19,30, . .

• 3,6,12,24, . . .

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CCSS.HSF.BF.A.2

Which of the following situations illustrates a geometric sequence?

• A person who initially saves 2,000.00 php, then saves 500.00 php the next month and saves 500.00 every month thereafter.

• Daises have 13,21,34,55, or 89 petals

• The number of ants in the colony doubles every week.

• The sum of the interior angles of a polygon increases by 180 as the number of sides increases. The sum of the angles of a triangle is 180, quadrilateral is 360, pentagon is 540, and so on.

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CCSS.HSF.BF.A.2

Which of the following situations illustrates an arithmetic sequence?

• A ball is dropped from a building at a point 20 meters high and bounces 50% of its original height in every bounce.

• A culture of bacteria triples every four hours.

• A grandfather clock makes a sound as many times as the time or hour of the day. At 1:00 A.M once, at 2:00 A.M. it alarms twice and so on.

• Daises have 13,21,34,55, or 89 petals?

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CCSS.HSF.BF.A.2

Which of the following situation is NOT an example of geometric sequence?

• A ball is dropped from a building at a point 20 meters high and bounces 50% of its original height in every bounce.

• In a warehouse, the logs are stacked in such a way that there is one log more than the row immediately above it.

• The cost of a house and lot appreciates by 3.5% every year.

• The number of ants in the colony doubles every week.

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CCSS.HSF.BF.A.2

What do you call a sequence in which in which there is a common ratio between any consecutive terms?

• Arithmetic Sequence

• Arithmetic Series

• Geometric Sequence

• Geometric Series

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CCSS.HSF.BF.A.2

if the first term is 5 and third term is 45, what is the common ratio?

• 3

• 10

• 15

• 180

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CCSS.HSF.BF.A.2

What do you call the terms between any two given nonconsecutive terms of a geometric sequence?

• Arithmetic Mean

• Fibonacci Mean

• Geometric Mean

• Harmonic Mean

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CCSS.HSF.BF.A.2

A newly-opened bakery initially ordered 50 kilograms of flour from its supplier. The demand for their malunggay pandesal went up so the order of flour increased by 10% every week. How many kilograms of flour will the supplier provide in the 8^th week?

• 91.44 kilograms

• 97.44 kilograms

• 98.44 kilograms

• 100.44 kilograms

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CCSS.HSF.BF.A.2

In a grocery, the cans of milk are stacked in such a way that there is one can less in the upper row. How many cans of milk are there in a stack of 18 rows with 2 cans on the topmost row?

• 111 cans

• 145 cans

• 189 cans

• 198 cans

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CCSS.HSF.BF.A.2

A residential lot’s value appreciates by 3% every year. If it was bought at 500,000 php in the year 2006, how much will be its value in the year 2021?

• 778,983.71 php

• 888,783.71 php

• 978,183.71 php

• 987,973.71 php

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CCSS.HSF.BF.A.2