Find the following 1_ 31_ 16 _ 21?
1_31_16_21_32_11 because 1,16 and 32 which equal to 1×16=16 16×2=32 and 31,21,11
Find the following 1_ 31_ 16 _ 21?
Pattern Analysis:
- In the given sequence 1_ 31_ 16 _ 21, we need to identify the pattern to fill in the blanks.
Identifying the Pattern:
- Looking at the numbers, we can see that the first and third numbers are 1 and 16, which are the squares of 1 and 4 respectively.
- The second and fourth numbers are 31 and 21, which are not perfect squares. However, if we look closely, 31 can be represented as 25 + 6 (5^2 + 1), and 21 can be represented as 16 + 5 (4^2 + 1).
Applying the Pattern:
- Following the pattern observed, we can fill in the blanks in the sequence:
- 1_ : 1^2 = 1
- 31_ : 5^2 + 1 = 31
- 16 : 4^2 = 16
- 21 : 4^2 + 1 = 21
Final Sequence:
- Therefore, the final sequence is 1, 31, 16, 21.
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