Unit Review: Arithmetic & geometric sequences

V.1Write arithmetic (with d), geometric (with r), or neither.

1. 1
   $4,9,16,25,\dots$
2. 2
   $12,17,13,18,\dots$
3. 3
   $9,11,9,11,\dots$
4. 4
   $-2,-1,0,1,\dots$

V.2Find each term, or write a rule for the nth term.

1. 5
   The 6th term: $-5,-15,-45,\dots$
2. 6
   The 6th term: $1,4,16,\dots$
3. 7
   The 34th term: $-2,-5,-8,\dots$
4. 8
   The 6th term: $3,-6,12,\dots$

V.3Answer each question.

1. 9
   A ball is dropped from $256$ inches. Each bounce reaches half the height of the one before. How high does it go on bounce $5$?
2. 10
   A colony starts with $25$ bacteria and doubles every hour. How many bacteria are there after $7$ hours?
3. 11
   A colony starts with $10$ bacteria and doubles every hour. How many bacteria are there after $8$ hours?
4. 12
   A colony starts with $20$ bacteria and doubles every hour. How many bacteria are there after $5$ hours?

V.1Arithmetic or Geometric?

1. 1neither
2. 2neither
3. 3neither
4. 4arithmetic, $d=1$

V.2Terms & Rules of Sequences

1. 5$-1,215$
2. 6$1,024$
3. 7$-101$
4. 8$-96$

V.3Sequence Word Problems

1. 9$8$ inches
2. 10$3,200$ bacteria
3. 11$2,560$ bacteria
4. 12$640$ bacteria