등차수열과 등비수열 단원 종합

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

1. 1
   $1,-11,-23,-35,\dots$
2. 2
   $0,-2,-4,-6,\dots$
3. 3
   $0,2,4,6,\dots$
4. 4
   $1,5,9,13,\dots$

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

1. 5
   The 32nd term: $-12,-17,-22,\dots$
2. 6
   The 8th term: $-2,4,-8,\dots$
3. 7
   The 6th term: $5,10,20,\dots$
4. 8
   The 32nd term: $12,23,34,\dots$

S.3Answer each question.

1. 9
   A ball is dropped from $192$ inches. Each bounce reaches half the height of the one before. How high does it go on bounce $5$?
2. 10
   A colony starts with $10$ bacteria and doubles every hour. How many bacteria are there after $5$ hours?
3. 11
   A ball is dropped from $256$ inches. Each bounce reaches half the height of the one before. How high does it go on bounce $4$?
4. 12
   A ball is dropped from $320$ inches. Each bounce reaches half the height of the one before. How high does it go on bounce $4$?

S.1Arithmetic or Geometric?

1. 1arithmetic, $d=-12$
2. 2arithmetic, $d=-2$
3. 3arithmetic, $d=2$
4. 4arithmetic, $d=4$

S.2Terms & Rules of Sequences

1. 5$-167$
2. 6$256$
3. 7$160$
4. 8$353$

S.3Sequence Word Problems

1. 9$6$ inches
2. 10$320$ bacteria
3. 11$16$ inches
4. 12$20$ inches