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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? 

 Dec 21, 2017

Best Answer 

 #1
avatar+17927 
+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

 Dec 21, 2017
 #1
avatar+17927 
+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

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