Insight:
Logic: These are arithmetic progressions where the common difference needs to be identified to find the missing terms.
Step-by-step solution:
- Part 1: Find the missing numbers in the sequence 2, 4, 6, 8, ..., 20.
Observe the pattern: each number is obtained by adding 2 to the previous one (common difference = 2).
The sequence is: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20. - Part 2: Find the missing numbers in the sequence 3, 6, 9, ..., 30.
Observe the pattern: each number is obtained by adding 3 to the previous one (common difference = 3).
The sequence is: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30.
Answer: 1) 10, 12, 14, 16, 18; 2) 12, 15, 18, 21, 24, 27