$J_A= C' , K_A = C ,$ So, $A^+ = J_AA'+K_A'A = C'A'+C'A = C'$
$D_B = A,$ So $B^+ = D_B = A$
$J_C =B , K_C = B' ,$ So $C^+ = J_CC'+K_C'C = BC'+BC = B$
So,$A^+=C', B^+ = A,$ and $C^+ = B$
Initially $ABC= 000$ so counter goes as
$000$
$100$
$110$
$111$
$011$
$001$
$000$
After $6$ clocks it will be back to initial state
Note:
1. Characterstic equation of JK FF , $Q_{t+1}=JQ_t'+K'Q_t$ and of D FF, $Q_{t+1}=D$
2. It is a Johnson counter , having $n$ flip-flops or ($n$-bit Johnson counter), and having $2n$ states.
3. $n$-bit Johnson counter is also known as mod$2n$ counter.