Answer: [tex]f(n)=2n-1[/tex]
Step-by-step explanation:
The given sequence : {1, 3, 5, 7, 9, … }
The term of the sequence are consecutive odd numbers .
Let n be the number of terms.
We make the following table ,
n [tex]a_n[/tex]
1 2(1)-1=1
2 2(2)-1=3
3 2(3)-1=5
4 2(4)-1=7
5 2(5)-1=9
Therefore, the function for the given sequence : [tex]f(n)=2n-1[/tex]