Question 882717: Dear Sir/Madam;
A pleasant day! please help me with this sequence problem. Consider the sequence x+3, x+7, 4x-2...
a) if the sequence is arithmetic, find x and then determine the first 4 terms
b) if the sequence is geometric, find x and then determine the first 4 terms.
Thank you very much!
Answer by Edwin McCravy(20064)   (Show Source):
You can put this solution on YOUR website! Consider the sequence x+3, x+7, 4x-2...
a) if the sequence is arithmetic, then
     
 
  <-- so common difference = 4
 
 
first term = x+3 =  =  = 
second term =  =  = 
As a check,
second term = x+7 =  =  =
third term =  =  = 
As a check,
third term = 4x-2 =  =  =
fourth term =  =  = 
-------------
b) if the sequence is geometric, then
 
Two solutions:
 , 
 , 
Using x=5
first term = x+3 =  = 
second term = x+7 =  = 
common ratio =  =  = 
third term =  = 
As a check,
third term = 4x-2 =  =  =
fourth term =  = 
Using x=
first term = x+3 =  =  = 
second term = x+7 =  =  = 
common ratio = =  =  
third term =  = 
As a check,
third term = 4x-2 =  =  =
fourth term =  = 
Edwin
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