Final answer:
The ratio of the given sequence is 1:10^-2 for each pair of consecutive terms, because each term is 100 times smaller than the previous term.
Step-by-step explanation:
The question asks to determine the ratio of the given sequence: 1 meter, 10-2 meters, 10-4 meters, 10-6 meters, 10-8 meters, 10-10 meters. To find ratios, we must compare each term to the one preceding it.
From 1 meter to 10-2 meters, we divide by 100 or 102, which gives us a ratio of 1:10-2. Similarly, from 10-2 meters to 10-4 meters, we also divide by 100 or 102, so the ratio remains the same. This pattern continues for the entire series, illustrating that each term is 102 times smaller than the previous term.
Therefore, the constant ratio across the entire sequence is 1:10-2 (or 100:1 when inverted), since we are dividing by 102 to get to the next term in the sequence.