web2.0calc
 
+0  
 

sequence

0
183
2
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?

 Jun 18, 2022

2+0 Answers

 #1
avatar
0

Your sequence will look like this:

 

3, 5, 2, - 3, - 5, - 2, 3, 5, 2, - 3, - 5, - 2, 3, 5, 2, - 3, - 5, - 2, 3.........2014th term will be a "3". The rest of them all cancel out.

 

Therefore, the sum of the first 2014 terms ==3.

 Jun 18, 2022
 #2
avatar
0

I get the following last 4 terms:

 

3, 5, 2, - 3 ==7 as the sum of 2014 terms of this sequence.

 Jun 19, 2022

2 Online Users

avatar

Top Users

avatar+128448 CPhill moderator
avatar+118608 Melody moderator
avatar+33615 Alan moderator
avatar+14913 asinus moderator
avatar+9519 MaxWong
avatar+3144 admin administrator
avatar+2440 GingerAle
avatar+1763 tomtom
avatar+1484 bader
avatar+1085 parmen
avatar+1032 kittykat

Sticky Topics