Sequence and Series

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

• a_n= 15+(n-1)4

• a_n= -15+(n-1)4

• a_n= -15+(n-1)3

• a_n= 4n -19

Tags

CCSS.HSF.BF.A.2

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

• a_n= -2(4)^n-1

• a_n= -2(4)ⁿ

• a_n= 2(-4)^n-1

• a_n= 2(4)^n-1

Tags

CCSS.HSF.BF.A.2

Use the formula S_n to find the sum of the first five terms of the geometric sequence.

• 22

• 2/3

• 18

• 21

Tags

CCSS.HSA.SSE.B.4

Find the sum of the arithmetic series using a formula. The first 42 terms of the series whose terms are a_n=10-5n

• -4090

• -3895

• -4095

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 term is 12,288 in the sequence given by: 3, 6, 12, 24, ...

• 11

• 12

• 13

• 14

Tags

CCSS.HSF.BF.A.2

Find the explicit rule for an arithmetic sequence if the 6th term is -38 and the 14th term is -110

• a_n=7-9(n-1)

• a_n=-9+7(n-1)

• a_n=-83+9(n-1)

• a_n=9-83(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

Describe the sequence, find the 5th term, and write the rule

-8, -6, -4, -2...

• geometric, a₅ = 2, a_n = 2n - 10

• geometric, a₅ = 0, a_n = -10n + 2

• arithmetic, a₅ = 2, a_n = -10n + 2

• arithmetic, a₅ = 0, a_n = 2n - 10

Tags

CCSS.HSF.BF.A.2

Find the common ratio (multiplier):  a₁ = 4 and a₄ = 256

• 84
• 64
• 4
• 8

Tags

CCSS.HSF.BF.A.2