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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 7, 2022
 #1
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first, it goes

20.  10.   5.  16.  8.   4.  2.  1.   4.   2.  1. 4.   2.  1

notice 4,2,1 repeats, so

\(\frac{100-5}{3}\) 

which is \(95/3\)

which leaves a remainder of 2

4,2. 

The 100th term of the sequence is \(2\)

 Jan 7, 2022

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