Exploring Adding and Subtracting Rational Expressions

What distinguishes geometric sequences from arithmetic sequences?

• Geometric sequences decrease in value only.

• Geometric sequences do not have a constant ratio.

• Geometric sequences involve addition or subtraction.

• Geometric sequences involve multiplication or division.

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CCSS.HSF.BF.A.2

How is the common ratio in a geometric sequence determined?

• By dividing a term by its previous term.

• By multiplying consecutive terms.

• By subtracting consecutive terms.

• By adding consecutive terms.

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CCSS.HSF.BF.A.2

If a sequence starts with 2, 10, 50, what is the common ratio?

• 10

• 2.5

• 5

• 0.5

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CCSS.HSF.BF.A.2

If a sequence has terms -40, 80, -160, what is the common ratio?

• 0.5

• 2

• -2

• -0.5

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CCSS.HSF.BF.A.2

What is the next term in the sequence 7, -21, 63, given the pattern continues?

• 189

• -21

• -189

• 21

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CCSS.HSF.BF.A.2

What is the formula for the nth term of a geometric sequence?

• a_n = a_1 + (n-1) * r

• a_n = a_1 / r^(n-1)

• a_n = a_1 * r^(n-1)

• a_n = a_1 - r^(n-1)

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CCSS.HSF.BF.A.2

Using the formula, what is the 7th term of the sequence starting with 27 and a common ratio of 3?

• 2187

• 243

• 729

• 81

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CCSS.HSF.BF.A.2

In a geometric sequence, if the first term is 100 and the common ratio is 0.5, what is the fifth term?

• 50

• 6.25

• 25

• 12.5

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CCSS.HSF.BF.A.2

What is the common ratio if a car's value starts at $10,000 and is $8,000 after one year?

• 1.25

• 2

• 0.8

• 0.5

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CCSS.HSF.BF.A.2

What will be the car's value after 10 years, starting from $10,000 and depreciating at a rate of 4/5 per year?

• $1,342.18

• $800

• $5,000

• $2,000

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CCSS.HSF.BF.A.2