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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 10th term of the sequence?

 Jun 13, 2020
 #1
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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 \(\boxed {2}\)

 Jun 13, 2020
edited by amazingxin777  Jun 13, 2020

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