CRJ CREW AT FL270 10 MI N OF HNK RECEIVE A TCASII RA ON TFC AHEAD DSNDING.

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ON VECTOR DIRECT TO XXX AT CRUISE FL270; WAS DIRECTED TO 'TURN L 30 DEGS FOR TFC.' CAPT WAS FLYING AND I RESPONDED TO THE INSTRUCTION WITH A READBACK. CAPT TURNED L 30 DEGS. I NOTED THAT THE ONLY TFC DISPLAYED ON TCASII WAS TO THE R ABOUT 20 MI AHEAD/2000 FT ABOVE; LEVEL. I THEN DIRECTED MY ATTN DOWN TO MAKE A PA AND WHILE DOING SO HEARD TCASII ANNOUNCE TFC. I LOOKED UP TO SEE YELLOW SYMBOL DISPLAY ALMOST STRAIGHT AHEAD; DSNDING AT 1200 FT ABOVE. I LOOKED OUT; BUT COULD NOT RESOLVE A TARGET. THE TA IMMEDIATELY BECAME A 'DSND' RA WITH A RED SYMBOL/DSNDING TO WHICH THE CAPT RESPONDED WITH AN IMMEDIATE DSCNT. I NOTIFIED ATC THAT WE WERE DSNDING IN RESPONSE TO AN RA. AT APPROX FL265 THE TCASII COMMANDED 'MONITOR VERT SPD.' CAPT LEVELED AT FL263. ATC DIRECTED A CLB TO FL270 DUE TO TFC AHEAD. ALMOST SIMULTANEOUSLY RECEIVED SECOND TFC ALERT; NEW TARGET ALMOST STRAIGHT AHEAD AT 400 FT BELOW. TCASII ENDED THE FIRST RA UPON ISSUING NEW ALERT. CAPT IMMEDIATELY CLBED TO FL270. I NOTIFIED ATC OF THIS DURING THE CLB. UPON RPTING LEVEL; ATC ISSUED AN IMMEDIATE FREQ CHANGE.