linear recureence sequences - Math Help Forum

$Math Help Forum$

$Go Back$		Math Help Forum > Pre-University Math Help > Pre-Algebra and Algebra
$Reload this Page$ linear recureence sequences

Download MHF Flyer

Mark Forums Read

$Reply$

#1

$Old$ October 20th, 2008, 08:04 AM

Sophie Cawley $Sophie Cawley is offline$

Newbie

Join Date: Oct 2008

Posts: 3

Country:

United Kingdom

Thanks: 2

Thanked 0 Times in 0 Posts

$Sophie Cawley is on a distinguished road$

$Default$ linear recureence sequences

(c) Consider the linear recurrence sequence

x

1 =23,xn+1 =1.3xn − 12

(

n =1,2,3,...).

(i)

Find a closed form for the sequence.

[

4]

(ii) Use the closed form to find the eighth term of the sequence,

correct to four significant figures.

[

1]

(iii) Describe the long-term behaviour of the sequence.

[

2]

$Reply With Quote$

Advertisement

#2

$Old$ October 20th, 2008, 08:25 AM

$vincisonfire's Avatar$

vincisonfire $vincisonfire is offline$

Senior Member

Join Date: Oct 2008

Location: Sainte-Flavie

Posts: 412

Country:

Canada

Thanks: 55

Thanked 156 Times in 151 Posts

$vincisonfire has a spectacular aura about$ $vincisonfire has a spectacular aura about$

Send a message via Skype™ to vincisonfire

$Default$

You should find that
$x_o=\frac{35}{1.3}$
$x_1=1.3 \cdot x_o - 12$
$x_2=1.3 \cdot (1.3 \cdot x_o - 12) -12 = 1.3^2 \cdot x_o - (1.3 + 1 ) \cdot 12$
$x_3=1.3^3 \cdot x_o - (1.3^2 + 1.3 + 1 ) \cdot 12$
$x_n=1.3^n \cdot x_o - (1.3^{n-1} + 1.3^{n-2} + ... + 1.3 +1 ) \cdot 12$
You alright for number two and I guess that by computing some value you can do number 3 alone.

Last edited by vincisonfire; October 20th, 2008 at 08:43 AM.

$Reply With Quote$

The following users thank vincisonfire for this useful post:
Sophie Cawley
$Donate to MHF$

$Reply$

« geometric Sequence | Top | straight line help!!! »

Thread Tools
$Show Printable Version$ Show Printable Version $Email this Page$ Email this Page
Display Modes
$Linear Mode$ Linear Mode $Hybrid Mode$ Switch to Hybrid Mode $Threaded Mode$ Switch to Threaded Mode

Posting Rules
You may not post new threads You may not post replies You may not post attachments You may not edit your posts BB code is On Smilies are On [IMG] code is On HTML code is Off Trackbacks are Off Pingbacks are Off Refbacks are Off

Forum Jump

All times are GMT -7. The time now is 04:59 PM.

your link here Sponsors

rv solar, e-learning,

Math Help Forum is a community of maths forums with an emphasis on maths help in all levels of mathematics.
Register to post your math questions or just hang out and try some of our math games or visit the arcade.