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?
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 \(2\)