Sequence and Series

What is k, given that 5,k,125 are consecutive terms of geometric sequence

• 15
• 25
• 45
• 50

Find the next 3 terms in this geometric sequence 1,-8,-17,-26...

• 256,1024,4094
• 256,1022,4094
• 252,1026,4096
• 256,1024,4096

Find the next 3 terms in this geometric sequence -9,3,-1,1/3,-1/9

• 1/27,-1/81,1/243
• -1/18,1/36,-1/72
• -1/27,1/81,-1/243

Is this  sequence geometric or arithmetic?
-13, -8, -3, 2, 7, . . .

• arithmetic
• geometric
• neither

What is the general term formula for this sequence?
-2, 4, -8, 16, . . .

• arithmetic
• geometeric
• neither
• No pattern

Given the sequence:
10, 4, -2,-8, -14
What is the general term formula
_Un =

•  u_n = 16 - 6n
•  u_n = 16 - 4n
•  u_n = 10 + (n-1)(-4)
•  u_n = 10 + (n-1)(6)

Find k, given the consecutive terms of arithmetic sequence  4, k, 20

• 8
• 10
• 12
• 1616

The third term of a geometric sequence is 96 and the fifth term is 1536.  What is the sum of the first ten terms of the sequence?

• 4,092
• 1,572,864
• 2,097,150
• 33,554,400

Holden sets up a factory for a new model. In the first month, only 5 cars are produced.  After this, 10 cars are manufactured every month. How many cars are made in the first year?  

• 500
• 600
• 720
• 800

A herd of 32 deer is to be left unchecked on a large  island off the coast of Kangaroo island. It is estimated that the size of the herd will increase each year by 18%. What is the size of the herd after 5 years?

• 40
• 50
• 62
• 73