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May 20th, 2010, 11:41 AM  #1 
Newbie Joined: May 2010 Posts: 5 Thanks: 0  Determine the formula for the nth term of the sequence?
t35 = 53.9 and t53 = 21.5 t35 and t53 (the numbers 35 and 53 are suppose to be small. Please show all steps towards solution thanks!!! 
May 20th, 2010, 12:29 PM  #2  
Member Joined: Nov 2009 Posts: 67 Thanks: 0  Re: Determine the formula for the nth term of the sequence? Quote:
You failed to tell us if it is an "arithmetic" or "geometric" sequence! Assuming it is an arithmetic sequence, we need to find the common difference and the 1st term. There are 19 terms between 35th and 53rd terms inclusive. Now, let's find the 1st term. Now, to the equation for the nth term: If you want, you can expand the right side so that .  
May 20th, 2010, 12:45 PM  #3  
Newbie Joined: May 2010 Posts: 5 Thanks: 0  Re: Determine the formula for the nth term of the sequence? Quote:
Ah sorry; it's an arithmetic sequence.  
May 20th, 2010, 12:50 PM  #4 
Global Moderator Joined: Dec 2006 Posts: 20,919 Thanks: 2203  You can get this by solving the simultaneous equations 35d + a = 53.9, 53d + a = 21.9. By the nth term, does the question mean or ? 

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