Sequence and Series S2020

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

Tags

CCSS.HSF.BF.A.2

Find the first 6 terms of the sequence.

• 13, 19, 25, 31, 37, 43

• 7, 13, 19, 25, 31, 37

• 1, 7, 13, 19, 25, 31

• 7, 12, 17, 22, 27, 32

Tags

CCSS.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

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

Given the recursive formula below, find the first five terms.

u₁ = 3

u_n = u_n-1 + 2

• 3, 5, 7, 9, 11

• 3, 5, 8, 10, 12

• 3, 7, 5, 11, 9

• 3, 2, 5, 7, 9

Evaluate: $\sum_{x=2}^{11}\left(5x-2\right)$  

• 305

• 503

• 53

• 8

For n = 1,2,3 . . .the explicit formula,
 a_n = (-3)ⁿ  + 4, will produce the sequence:

• {1, 13, -23, 85. . .}
• {1, -5, -23, -77. . .}
• {1, -2, -5, -8...}
• {1, 10,-5, 85. . .}

Tags

CCSS.HSF.BF.A.2

Find the first 6 terms of the sequence

• 1, 2, 6, 18, 54, 162

• 2, 6, 18, 54, 162, 486

• -2, -6, -18, -54, -162, -486

• -2, 1, 4, 7, 10, 13

Tags

CCSS.HSF.BF.A.2

Is the sequence 2, 4, 12, 48,... geometric?

• yes
• no

Tags

CCSS.HSF.BF.A.2

What is the common ratio for the sequence:
28, 14, 7, 3.5...

• 2
• 1/2
• -14
• -7

Tags

CCSS.HSF.BF.A.2