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The first term of a sequence is 20.
If a term in the sequence is t and t is even, the next term is t/2
If a term in the sequence is t and t is odd, the next term is 3t + 1.
Therefore, the first three terms in the sequence are 20, 10, 5.
What is the 100th term of the sequence?

 Jan 8, 2021
 #1
avatar+114361 
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Let's see if we can discover some pattern

 

20 , 10,  5, 16, 8, 4, 2, 1, 4, 2, 1

 

The pattern  begins a cycle of 4,2,1   after the 5th term

 

The  nth term  in the 3 number pattern  is  (n) mod 3  +  1

 

100 mod 3 + 1 =

 

1  + 1 = 

 

2nd term   =

 

2

 

 

cool  cool  cool   

 Jan 8, 2021
edited by CPhill  Jan 8, 2021
edited by CPhill  Jan 8, 2021

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