+0  
 
0
84
1
avatar

In the sequence of numbers 3, 5, 2, ... each term after the first two is calculated as the term preceding it minus the term preceding that. So, for example, the third term is the second term minus the first term, i.e. 2 = 5 - 3. What is the sum of the first 2014 terms of the sequence?

 Nov 27, 2020
 #1
avatar+116126 
+1

Let's see if we can discover a pattern

 

[3, 5, 2, -3, -5, -2], 3, 5

 

The terms start  repeating after  the 6th term

 

And the sum  of  the 6  =  0

 

So...

 

2014 mod 6  = 4

 

Summing the first  2010  =  0

 

The reamaining terms  after summing the first 2010  is

 

3,  5 , 2 , -3    =    7

 

 

cool cool cool

 Nov 27, 2020

64 Online Users

avatar
avatar