Observe the pattern and complete the sequences below:

1. 15,638, 25,638, 35,638, 45,638, 55,638, 65,638
2. 29,536, 39,536, 49,536, 59,536, 69,536, 79,536

To complete the given sequences, we first need to observe the pattern in each sequence individually. Each sequence seems to follow a specific pattern where a constant number is added to each consecutive term.

Sequence 1:

Observing the numbers: 15,638, 25,638, 35,638, 45,638, 55,638, 65,638
Notice that each number is obtained by adding 10,000 to the previous number.
Therefore, the pattern is: add 10,000.
Continuing this pattern, the next number after 65,638 would be: 65 , 638 + 10 , 000 = 75 , 638


Sequence 2:

Observing the numbers: 29,536, 39,536, 49,536, 59,536, 69,536, 79,536
Notice that each number is obtained by adding 10,000 to the previous number.
Therefore, the pattern is: add 10,000.
Continuing this pattern, the next number after 79,536 would be: 79 , 536 + 10 , 000 = 89 , 536



Hence, the completed sequences are:

15,638, 25,638, 35,638, 45,638, 55,638, 65,638, 75,638
29,536, 39,536, 49,536, 59,536, 69,536, 79,536, 89,536

Understanding these sequences helps in recognizing patterns and developing strategies for solving similar mathematical problems.

Answered by BenjaminOwenLewis | 2025-07-06