How does the jump game problem use the greedy approach?

Track the farthest position reachable from any position visited so far. Start at index zero with maximum reach equal to the value at index zero. Iterate through the array: at each position, update maximum reach as the greater of the current maximum reach and the current index plus the value at that index. If the current index exceeds maximum reach, you cannot proceed and the answer is false. If maximum reach reaches or exceeds the last index, the answer is true.