Answer:
[tex]R=5.2\ \Omega[/tex]
Explanation:
In series combination, the equivalent resistance is given by :
[tex]R_{eq}=R_1+R_2+R_3+...[/tex]
Let the identical resistors be R. We have, [tex]R_{eq}=15.6\ \Omega[/tex]
So,
[tex]R+R+R=15.6\\\\3R=15.6\\\\R=\dfrac{15.6}{3}\\\\R=5.2\ \Omega[/tex]
So, the resistance of each resistor is [tex]5.2\ \Omega[/tex].