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3,x,8

find x? (arithmetic sequence)

 Sep 5, 2015

Best Answer 

 #2
avatar+130514 
+5

"Guest" might be correct.....it could be the Fibonacci Series......but let's assume that it's a regular arithmetic series....we can find the middle term by finding the common difference, thusly :

 

8 = 3 + d(3 -1)    simplify

 

5 = d(2)   divide both sides by 2

 

2.5  = d   this is the common difference....so....the second term is just 3 + 2.5   = 5.5

 

And the third term is just 5.5 + 2.5   = 8    as we might suspect  !!!

 

 

cool cool cool

 Sep 5, 2015
 #1
avatar
+5

it could be the fibonacci sequence. 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ... The nextnumber is found by adding up the two numbersbefore it. Similarly, the 3 is found by adding the twonumbers before it (1+2).

 Sep 5, 2015
edited by Guest  Sep 5, 2015
 #2
avatar+130514 
+5
Best Answer

"Guest" might be correct.....it could be the Fibonacci Series......but let's assume that it's a regular arithmetic series....we can find the middle term by finding the common difference, thusly :

 

8 = 3 + d(3 -1)    simplify

 

5 = d(2)   divide both sides by 2

 

2.5  = d   this is the common difference....so....the second term is just 3 + 2.5   = 5.5

 

And the third term is just 5.5 + 2.5   = 8    as we might suspect  !!!

 

 

cool cool cool

CPhill Sep 5, 2015
 #3
avatar
+5

This is an "arithmetic sequence", which means the difference between one term and the next must a constant. Since the 1st. term is 3 and the 3rd. term is 8, then,

8 - 3=5 / 2=2.50 appears to be the difference between the terms. Therefore, the 2nd.term should be

3 + 2.5=5.5.........so we have, 3, 5.5, 8, 10.5, 13, 15.50............and so on.

 Sep 5, 2015

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