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MA40: ALGEBRA 2
1.5c
-
Name:
HOMEWORK
Solidify Understanding #3
Period:
Use the given information to complete the other representations for each geometric sequence.
Table:
Graph:
o
a
I
r{
3
Sooo 57s0 6bt?l 7b01 871s
5000 + sooo(.r5)
5oo0(t t
.ts)
b'e.omol'ri
5
10,
C
6
E
ab
o
looo
@oo
Equation: 4 HoUrS'
0n=0r' f n-l iI a, =lEJ +rt.
Explicit
Recursive Equation:
A,o= 5000
0"n
qMo
**,
t+
f=l'15
Poo(r,rf)
o5;
rJ
t
i,J:il,
= 0._, . (t. tS)
is
rirtcr"n
Gq= Q9'I-h
0,n = (sooo)(r.rs)n
Create a Context:
A certain bacteria culture initially contains 5000 bacteria and increases by
15%o
every hour.
Graph:
i
^ ."
$ilnliNNl\.r€
t"1lt{ll$t$t$sli*
.
:
1
2
3
4
L-
1
2
4
8
3lt
9
27
81
;J
Genvnorric
*=|=t;i=tli=2
r"L3
*=Y,=:.,r?=*,\^z
Recursive Equation:
I
1,
L,
q
Explicit Equation:
t.
A\= A,'{n'
Gt= 3
a,=2,r?2
C"t =(Gn-,Xt)
0n= (3x3)*'
utat
Create a Context:
ahoT
bo,.rr',.e s hqck. lo lowen
ah@t
ho
drap
ball
fro,".',{5
a
You
'+
$onds
or"c,[ low er hei5hfs . Eo.ch brr",.J Xeight ft + *\s hetghf 6$ *hcP
cevi0uS bor,, ,4.
Table:
Graph:
70
ao
ta
t1-.rirSL
Explicit Equation:
h-l
Qn = O,'f
Recursive Equation:
rl')-3 r(n-r);
f-I:"
0n'\ f (l) -
a,--llr=3
,_-n-t
(3)
I
;^=j(E)*r 0''=
2
3
^"f"
Geon^e}r^i C
f= 3 tQ,=L
Create a Context:
o;t:- a hanl
Yru got ) prob\evn s cofcocl an {he ft.St ogSc Ss"r:ren*. You
Thc N2vnber oF ytvbtcms Ylu ge*
Wor Ker So ,ou (e"p Sfodvng\at4'
W4 Wrcct ttiplcs eoch *rr,,"c yoo hK" a^ a*legSmcn{ '
Table:
Graph:
100
Recursiye Equation:
Explicit Equation:
0'a3
0n
Create a
=
Context:
(0"-,)'
f (") -3(z)'-'
(r)
Ge-onelri
C
l"=2t O,= 3
\
3 Prob\erns fu't horn.woaK on lhc Crrs+
ptrfrrnn hh4
irnlrrr)Vc
and'
urilt
rnallh
laurr"
lovo
yot/
d"y o$ sc,V''ool' No$,.rnolly,
e,tui1 doy. So you a,bK foor *eaoher iq he could', d.ooble *hc N^ber
fr I + {rh fl.- {irst b daf s
arrh rtff
ss jneo\ h ylu sar,h
Od-p ublerns qsci
v
ir;;;"ii.
+ eac\er qa{e
0C "fchoot.
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