등차수열과 등비수열 단원 종합

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

1. 1
   $17,20,23,26,\dots$
2. 2
   $20,25,21,26,\dots$
3. 3
   $-9,-11,-13,-15,\dots$
4. 4
   $8,9,11,14,\dots$

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

1. 5
   The 7th term: $6,12,24,\dots$
2. 6
   The 6th term: $2,-6,18,\dots$
3. 7
   The 7th term: $-6,-18,-54,\dots$
4. 8
   The 6th term: $2,10,50,\dots$

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 $5$ bacteria and doubles every hour. How many bacteria are there after $8$ hours?
3. 11
   A ball is dropped from $192$ inches. Each bounce reaches half the height of the one before. How high does it go on bounce $5$?
4. 12
   A colony starts with $10$ bacteria and doubles every hour. How many bacteria are there after $8$ hours?

V.1Arithmetic or Geometric?

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

V.2Terms & Rules of Sequences

1. 5$384$
2. 6$-486$
3. 7$-4,374$
4. 8$6,250$

V.3Sequence Word Problems

1. 9$8$ inches
2. 10$1,280$ bacteria
3. 11$6$ inches
4. 12$2,560$ bacteria