The given sequence : 5, 8, 11, 14, 17
Since the difference between the consecutive terms is 3
So, the Difference = 3
Thus, the Given series is an Airthmatic Progression Series :
where, first term is 5,
The expression for the nth term of an Airthmatic series is :
[tex]a_n=a+(n-1)d[/tex]Now for third term, i.e. n =3
[tex]\begin{gathered} a_3=a_1+(3-1)d \\ a_3=5+2\times3 \\ a_3=5+6 \\ a_3=11 \end{gathered}[/tex]The third term is 11
Answer : B) 11