Understanding the Number Sequences

While sorting some buttons, Marvin put 335 buttons in the first box, 335 buttons in the second box, 335 buttons in the third box, and 335 buttons in the fourth box. What kind of sequence is this?

What kind of sequence is this?

2, 3, 5, 8, ...

Type the missing number in this sequence:

32, 38, ##44##, 50, 56

Type the missing number in this sequence:

4, 16, 64, ##256##, 1024, 4096

Type the missing numbers in this sequence:

5, 25, ##125##, 625, ##3125##, 15625

What is the next fraction in this sequence?

1/96 , 1/48 , 1/24 , …

Sandra is picking berries in the berry patch. She picks 3 berries from the first bush, 9 berries from the second bush, 27 berries from the third bush, 81 berries from the fourth bush, and 243 berries from the fifth bush. If this pattern continues, how many berries will Sandra pick from the sixth bush?

Kathleen is picking berries in the berry patch. She picks 64 berries from the first bush, 72 berries from the second bush, 80 berries from the third bush, and 88 berries from the fourth bush. If this pattern continues, how many berries will Kathleen pick from the fifth bush?

Find the first four terms of the sequence defined below, where n represents the position of a term in the sequence. Start with n = 1.

2(2)^n

##4##, ##8##, ##16##, ##32##

Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term.

8, 9, 10, 11, ...