In the sequence 2, 10, 50, 250, 1250, the third term is 50, and the fifth term is 1250. The common ratio between consecutive terms is 5.
To find the missing terms in the sequence 2, 10, _, 250, _, we can observe the pattern between consecutive terms.
The common ratio between consecutive terms is 5, as 10/2 = 5 and 250/50 = 5.
Now, let's find the missing terms:
1. Third term: 10 × 5 = 50
2. Fifth term: 250 × 5 = 1250
Therefore, the third term is 50, and the fifth term is 1250.
The sequence 2, 10, 50, 250, 1250 follows a pattern with a common ratio of 5. The third term is 50, and the fifth term is 1250, showing exponential growth.