9.1 intro to sequences

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

Tags

CCSS.HSF.BF.A.2

Given the recursive formula, find the first four terms:
a_n = -3⋅a_n-1
a₁ = 45

• 45, -135, 405, -1215
• -45, -135, -405, -1215
• 45, 135, 405, 1215
• 45, 42, 39, 36

Tags

CCSS.HSF.BF.A.2

Given the recursive formula, find the first four terms:
a_n = a_n-1 + 5
a₁ = -16

• -16, -21, -26, -31
• 5, -11, -27, -43
• -16, -80, -500, -200
• -16, -11, -6, -1

Tags

CCSS.HSF.BF.A.2

Find the first four terms of the sequence given the rule:
a_n = 4(5)^n-1

• 20, 100, 500, 2500
• 5, 20, 80, 320
• 4, 20, 100, 500
• 4, 9, 14, 19

Tags

CCSS.HSF.BF.A.2

Find the first four terms of the equation 2(7)^n-1 ?

• 7, 14, 28, 56...

• 2, 14, 98, 686...

• 2, 9, 16, 23...

• 7,9,11,13...

Given the explicit formula, find the first four terms:
a_n = -400(¹/₂)^n-1

• -400, -200, -100, -50
• -400, 200, -100, 50
• -400, -399.5, -399, -398.5
• -400, -300, -200, -100

Tags

CCSS.HSF.BF.A.2

Given the explicit formula, find the first four terms:
a_n = 19 - 5(n-1)

• 19, 14, 9, 4
• 19, 24, 29, 34
• 19, -95, 475, -2375
• 1, -4, -9, -14

Tags

CCSS.HSF.BF.A.2

Given the sequence:
 25, 21, 17, 13,...
Write the explicit equation that models the sequence.

• a_n = 4n + 29
• a_n = -4n + 25
• a_n = -4n + 29
• a_n = 4n + 25

Tags

CCSS.HSF.BF.A.2

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