Final answer:
Stn1 is the protein that binds to the G-quartet and provides energy for translocating telomerase for the next round of synthesis.
Step-by-step explanation:
The protein that binds to the G-quartet and provides energy for translocating telomerase one repeat forward for the next round of synthesis is Stn1.
Telomerase is an enzyme that is involved in maintaining the length of telomeres, which are the protective caps at the ends of chromosomes. Stn1 acts as a subunit of the CST complex, which interacts with the G-quartet structure in telomeres and helps in the movement of telomerase during DNA synthesis.