CCSS.Math.Content.HSF.BF.A.2

Which formula is used to find the explicit equation for geometric sequences?

• a_n = a_n-1 + d
• a_n = a_n-1 * r
• a_n = a₁ + d(n-1)
• a_n = a₁ * r^n-1

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CCSS.Math.Content.HSF.BF.A.2

Find the 32nd term of this sequence.
34, 37, 40, 43, ...

• 32
• 64
• 127
• 356

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CCSS.Math.Content.HSF.BF.A.2

Find the common ratio: 64, -16, 4, -1, ...

• r = -8
• r = -1/4
• r = -4
• r = 4

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CCSS.Math.Content.HSF.BF.A.2

What is the explicit rule for the sequence:
11, 22, 44, 88...

• _gn = 2(11)^n-1
• _gn = 11x2
• _gn = 11(2)^n-1
• g_n = 11+(2)^n-1

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CCSS.Math.Content.HSF.BF.A.2

Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint:  a_n = dn + a_{0 . . .} or . . . a_n = a₀ + dn)

• a_n=2+6n
• a_n=-6+6n
• a_n=6n-4
• a_n=4-6n

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CCSS.Math.Content.HSF.BF.A.2

The sequence below shows the amount of bacteria that occurs after each hour:   2, 6, 18, 54, 162 Which formula can be used to determine the amount of bacteria in the next hour, NEXT, if the number of NOW bacteria is known?

• NEXT = NOW ⋅ 3
• NEXT = NOW ⋅ ⅓
• NEXT = 3 ⋅ NOW + 2
• NEXT = NOW ÷ 3

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CCSS.Math.Content.HSF.BF.A.2

Find an explicit rule for the nth term of the sequence.

• a_n= 7(-1)^n-1

• a_n= -7(1)^n-1

• a_n= 7(-1)ⁿ

• a_n= 7(1)^n-1

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CCSS.Math.Content.HSF.BF.A.2

Find the explicit rule for the nth term of the sequence. The second and fifth terms of a geometric sequence are -24 and 1536, respectively.

• a_n= 6(-4)^n-1

• a_n= 6×-4^n-1

• a_n= 6(-4)ⁿ

• a_n= -6(4)^n-1

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CCSS.Math.Content.HSF.BF.A.2

5, 15, 45, 135 is a ...

• Geometric sequence with r = 3

• Geometric sequence with r = 1/3

• Arithmetic sequence with d = 10

• Arithmetic sequence with d = 3

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CCSS.Math.Content.HSF.BF.A.2

Find the sum of the first 10 terms for the series: -1 + 2 + 5 + 8 + ...

• 122

• 125

• 128

• 131

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CCSS.Math.Content.HSF.BF.A.2