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How many numbers are in the list \($2008, 2003, 1998, \ldots, 8, 3?$\) ? 

 

 

 

 

 

 

I think the answer is 401.2 but im not sure

 Dec 26, 2018
 #1
avatar+18965 
0

I count 5....but I'm not sure.

 Dec 26, 2018
 #2
avatar+18965 
+2

The number of TERMS in the ARITHMETIC series:

 

(2008 -3)/5   + 1 = 402

 Dec 26, 2018
 #3
avatar+103131 
+1

Last term  = First term - 5( N - 1)          where N is the number of terms

 

3 = 2008 - 5(N - 1)         subtract 2008 from both sides

 

-2005 = -5N + 5           subtract 5 from both sides

 

-2010 = - 5N             divide both sides by - 5

 

402 = N

 

 

cool cool cool

 Dec 26, 2018

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