+0  
 
0
375
1
avatar

A geometric sequence is defined by the equation an = (2)5 − 2n.

 

Part A: What are the first three terms of the sequence? 

Part B: What is the value of r? 

Part C: What is the value of a10? 

Guest Dec 21, 2017

Best Answer 

 #1
avatar+12741 
+1

To find the first three terms, substitute n =1   n= 2   n= 3 in to the equation

n=1   a(1) = 2^(5-2(1)) = 8

n=2                               2

n=3                              .5

 

to get the next term of a geometric sequence, you multiply the previous term by 'r'

    r is the value used to multiply the 1st term by to get the 2nd term   8(x) = 2     x = 2/8 = 1/4

 

a(10) = 2^(5-2(10)) = 2^(-15) = 1/(2^(15))  =  1/ 32768 =  .000030518

ElectricPavlov  Dec 21, 2017
 #1
avatar+12741 
+1
Best Answer

To find the first three terms, substitute n =1   n= 2   n= 3 in to the equation

n=1   a(1) = 2^(5-2(1)) = 8

n=2                               2

n=3                              .5

 

to get the next term of a geometric sequence, you multiply the previous term by 'r'

    r is the value used to multiply the 1st term by to get the 2nd term   8(x) = 2     x = 2/8 = 1/4

 

a(10) = 2^(5-2(10)) = 2^(-15) = 1/(2^(15))  =  1/ 32768 =  .000030518

ElectricPavlov  Dec 21, 2017

31 Online Users

avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.