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 10th term of the sequence?

Guest Jun 13, 2020

#1**+2 **

Just continue on the sequence

\(1\text {st} \space \text {term}\) \(2\text {nd} \space \text {term}\) \(3\text{rd}\space\text{term}\) \(4\text{th} \space \text{term}\) \(5\text{th} \space \text{term}\) \(6\text{th} \space\text{term}\) \(7\text{th} \space \text {term}\) \(8\text {th} \space \text{term}\) \(9\text{th} \space \text{term}\)

20 (even) 10 (even) 5 (odd) 16 (even) 8 (even) 4 (even) 2 (even) 1 (odd) 4 (even)

\(10\text{th} \space\text{term}\)

2

So the answer is \(\boxed {2}\)

amazingxin777 Jun 13, 2020