Sequences & Series

What is the twelfth term in the sequence 3, -6, 12, . . . ?

• -12288

• 6,144

• -6,144

• 12288

Tags

CCSS.HSF.BF.A.2

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

• a_n = 2(11)^n-1
• a_n = a_n-1 ⋅ 2
• a_n = 11(2)^n-1
• a_n = a_n-1 + 11

Tags

CCSS.HSF.LE.A.2

What is the sum of the first ten terms of the sequence 4, -12, 36, -108 . . . ?

• 59,050

• -59,048

• -78,732

• 118,096

Tags

CCSS.HSA.SSE.B.4

Which sequence is arithmetic?

• 4, 8, 16, 32, 64, ...

• 4, 6, 10, 12, 16, ...

• 4, 1, -2, -5, -8, ...

• 4, 2, 1, 1/2, 1/4, ...

Tags

CCSS.HSF.BF.A.2

Find the 22nd term of the following sequence:
5, 8, 11, ...

• 14

• 68

• 63

• 71

Tags

CCSS.HSF.BF.A.2

Which recursive formula best describes the following sequence:
3, 8, 13, 18, 23...

• a_n = (3)^n-1 ; a₁ =5

• a_n = (5)^n-1 ; a₁ =3

• a_n = a_n-1+3 ; a₁ =5

• a_n = a_n-1+5 ; a₁ =3

Tags

CCSS.HSF.IF.A.3

What is the sum of the first 50 terms of the series 2 + 17 + 32 + 47 + ...?

• 1,600

• 18,235

• 18,475

• 19,125

Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint:  Write your formula and then simplify it.)

• a_n=2+6n

• a_n=-6+6n

• a_n=6n-4

• a_n=4-6n

Tags

CCSS.HSF.BF.A.2

Which is a recursive formula for the sequence:  -9, 18, -36, ...

• a₁ = -9, a_n = -2a_n-1

• a₁ = -9, a_n = a_n-1 - 2

• a_n = -9(-2)^n-1

• a_n = -9 - 2(n - 1)

Tags

CCSS.HSF.IF.A.3

What are the first four terms of the sequence given by: 
 a₁ = 8, a_n = 3a_n-1 + 2

• 8, 26, 80, 242
• 8, 10, 12, 14
• 8, 24, 72, 216
• None of these

Tags

CCSS.HSF.BF.A.2