sequences

Is the sequence arithmetic: 37, 31, 25, 19, ...

• Yes
• No

Tags

CCSS.HSF.BF.A.2

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

• yes
• no

Tags

CCSS.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

Tags

CCSS.HSF.BF.A.2

Identify the common difference.
97, 86, 75, 64, ...

• 8
• 11
• -11
• -8

Tags

CCSS.HSF.BF.A.2

Find the common ratio: 4, -16, 64, -256, ...

• r = -4
• r = 2
• r = -2
• r = 4

Tags

CCSS.HSF.BF.A.2

Write a formula for the following sequence:
4, 12, 36, 108... $\left(hint:\ a_n=a_1r^{\left(n-1\right)}\sim where\sim a_1=first\sim term\sim and\sim r=common\sim ratio\right)$  

• a_n = 4(3^n-1)

• a_n = 4(3ⁿ)

• a_n = 4+3n

• a_n = 4(3n)

Write the explicit formula for the geometric sequence. $\left(hint:\ a_n=a_1r^{\left(n-1\right)}\sim where\sim a_1=first\sim term\sim and\sim r=common\sim ratio\right)$  

• a_n = 7(1)ⁿ

• a_n = 7(-1)ⁿ

• a_n = 7(-1)^n-1

• a_n = -1(7)^n-1

Write the explicit formula for the geometric sequence. $\left(hint:\ a_n=a_1r^{\left(n-1\right)}\sim where\sim a_1=first\sim term\sim and\sim r=common\sim ratio\right)$  

• a_n = 4(3)^n-1

• a_n = 3(4)^n-1

• a_n = -4(3)^n-1

• a_n = 3(-4)^n-1

Write the explicit formula for the geometric sequence. $\left(hint:\ a_n=a_1r^{\left(n-1\right)}\sim where\sim a_1=first\sim term\sim and\sim r=common\sim ratio\right)$  

• a_n = 162(2/3)^n-1

• a_n = (2/3)(162)^n-1

• a_n = 162(3/2)^n-1

• a_n = 162 + (n-1)(-54)

Write the explicit formula for the geometric sequence. $\left(hint:\ a_n=a_1r^{\left(n-1\right)}\sim where\sim a_1=first\sim term\sim and\sim r=common\sim ratio\right)$  

• a_n = 2(100)^n-1

• a_n = 100(2)^n-1

• a_n = 100(1/2)^n-1

• a_n = (1/2)(100)^n-1