Algebra 1 – Semester 2

Tips on how to successfully complete:

1.3.5 Practice: Geometric Sequences 

 

 

 

See next page for tips on the assignment itself.   

 

bcsuy'e'b aeepsslhe hla'afu parl of +ryouR AsstcNMENr: Bail Bounce hpq,tJ h0l., rlDh.You have chosen one ball; now you will rjredict how high itbdUnceC on tlJ:,T:T:JT:Iffi ':ilT:-*#,"fr Jf, "h,,,t#."x:}k,3*[

A+'+h e lAr,,rfiU, a^U)ta, t ldoh, CttW Ji'b Ffrrrr i' n n ^"hE&t1" AMYou have chosen one ball; now you will predict-how hig tti bd'Fce.

Basketball

I chose this ball because:

Table-tennis ball

d/SmrUta s€d1sg '0ur +^c s\hr( fr^ ?Writing an Equation

2. Assume that the ball rebounds the same percentage on each bounce. Using the initial drop heightand the height after the first bounce, find the common ratio r. Note: Round rto three decimal places.

Sgle* +rr,a, t .-.-'1. ICircle]he ballyou chose, and explain why you selected it. (1 point)V

aY[sr.4 v7e , -

6:il'vlDv Lckzr hJ S+ar+.

SttfD.fwM

iuAeracpa,r+

ohturrl,

3 points: 1 point fsr each aRrw&r.

Ittb* do)6rt tvsntto6rd out?

What kind sf an$rrse{

Ist-buI of4 \ wrnp

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(2 points: 1 point for showino vour work. 1 pe4t fqlhq answer)

3. State the qeneral version of the recursive formula.h-

-r-

(1 point)

WnlotlohcauTtvor

ffiw.ks4. Find the recursive formula for the height ot$. (1 point)

u)fib h0 ftrvngrla fiorr+ 3 ,b6SUbsit+ufz -+W r qou-C&\

uLlylzL in +2 +il. 4N, r t^ aM fuwLa-5. Fill out the following table for your ball's height after the first three bounces. Note: Let n = bounqe

number. On the initialdrop, n = 0. (4 points: 1 point for each line) USe llWtnl I ,fhnM {+ tfHeight

6. Write the explicit formula for the geometric sequence of the height of the ball on the nth bounce. Use

1l:l1lzlg

__l

sotving the Probtem 2 {vun^ t ta

the rormura ", =. i.,l;#I, vur ( W*z

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7. Using the explicit formula, find the height of the ball on the 1Oth bounce. (2 points: 1 point for@tfortheanslwe4

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/? 0Ton^ *5 E * +8. Usino vour orevious calculations, draw a graph and plot the ball's maximum height (y) when the

numberofbounces(x)=0.123and1oryt2noinf*}

Taklng Tlme to Reflect

o) b)9. \Mat are some factors that could afiect the ball's bounce? W6y might a ball bounce higher or lowerthan the regulated height? (l potnt)

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10. For the sport you chose, why would it matter if a player used a ball that bounced higher than theregulation? (1 point)

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