Geometric Sequences

Which sequence is represented by the equation 2(7)ⁿ ?

• 7, 14, 28, 56...
• 2, 14, 98, 686...
• 2, 9, 16, 23...
• 7,9,11,13...

Given the sequence:
125, 25, 5, ....
Write the explicit rule:

•  y = (125)(5)^(x)
•  y = 125(1/5)^(x)
•  y = 625(5)^(x)
•  y = 125 + 5x

Which sequence is represented by the equation 2(7)^x-1 ?

• 7, 14, 28, 56...
• 2, 14, 98, 686...
• 2, 9, 16, 23...
• 7,9,11,13...

The pattern followed by the sequence 3,6,9,12 is...

• +3
• +4
• -4
• +6

Find a₉ in the sequence 4, 8, 16, 32, ... 

• 384
• 512
• 768
• 1,024

Find the common ratio: 16, 8, 4, 2, ...

• r = 2
• r = 8
• r = 1/4
• r = 1/2

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

• r = -4
• r = 2
• r = -2
• r = 4

Is the sequence 256, 64, 16, 4,... geometric?

• yes
• no

Given a_n = 3(6)^(n-1), what is the common ratio?

• 3
• 6
• (n-1)

Determine whether the sequence is arithmetic, geometric, or neither.

• arithmetic
• geometric
• neither

Tags

CCSS.HSF.BF.A.2