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2015-06-08T12:20:46+08:00

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You just add two in each number.

So the sequence will be 

3
3+2 =5
5+2=7
7+2=9
9+2=11
11+2=13
13+2=15 and so on.
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2015-06-08T14:44:04+08:00

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If you mean how is the nth term computed,
Notice that this is an arithmetic sequence and the formula for the nth term in any arithmetic sequence is as follows:

a_n=a_1+(n-1)d
where d is the common difference, a subn is the nth term, a sub1 is the 1st term.

a_2-a_1=a_3-a_2=a_4-a_3=...=a_n-a_{n-1}=d
In this case our common difference is 2 since:
5-3=7-5=9-7=11-9=2

So:
a_n=3+(n-1)2
We can further simplify this, since 3 = 2(1) + 1,
a_n=2(1)+1+(n-1)2=2(n-1+1)+1=2n+1



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