Given:
The dots of first, second, third, ... terms are shown.We have to find the dots in the nth term.
The sequence is given as:
[tex]3,5,7,9,\ldots\text{.}[/tex]
Hence, first term is 3 here,so a=3
Now , the sequence is an arithmetic sequence with common difference as 2.
So d=2 here.
The nth term is given by the explicit formula:
[tex]a_n=a+(n-1)d[/tex]
Substituting the values,
[tex]\begin{gathered} a_n=3+(n-1)2 \\ =3+2n-2 \\ =2n+1 \end{gathered}[/tex]
Hence, there will be (2n+1) dots in the nth term
Hence, Option B is true.
