Final answer:
To find the missing numbers in the sequence 1, 3, 6, 10, 21, 36, you need to identify the pattern and apply it to calculate the missing numbers.
Step-by-step explanation:
The given sequence is 1, 3, 6, 10, 21, 36. To find the missing numbers, we need to look for a pattern or rule in the sequence. By looking closely, we can see that each number is obtained by adding consecutive numbers. Let's break it down:
- 1 + 2 = 3
- 3 + 3 = 6
- 6 + 4 = 10
- 10 + 11 = 21
- 21 + 15 = 36
Using this pattern, we can find the missing numbers as follows:
- 36 + 21 = 57
- 57 + 32 = 89
So, the missing numbers are 57 and 89.