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Ans the following patten
1. 4 ,_ ,144, 400 ,900
2. 36,34,30,28,24,_,_
3. 97,90,76,55 _,_?
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Ans the following patten 1. 4 ,_ ,144, 400 ,9002. 36,34,30,28,24,_,_3....
Pattern 1: 4, _, 144, 400, 900
- The sequence seems to involve perfect squares.
- 4 is 2², 144 is 12², 400 is 20², and 900 is 30².
- The missing number should be between 2² and 12², which is 6².
- Therefore, the missing number is 36.
Pattern 2: 36, 34, 30, 28, 24, _, _
- This sequence decreases by alternating values.
- The differences are: 2 (36 to 34), 4 (34 to 30), 2 (30 to 28), 4 (28 to 24).
- Following this pattern, the next number will decrease by 2: 24 - 2 = 22.
- Continuing, the next decrease will be 4: 22 - 4 = 18.
Pattern 3: 97, 90, 76, 55, _, _
- Here, the sequence shows decreasing values.
- The differences are: 7 (97 to 90), 14 (90 to 76), 21 (76 to 55).
- The pattern of differences increases by 7 each time.
- Next difference should be 28: 55 - 28 = 27.
- Following this, the next difference is 35: 27 - 35 = -8 (negative).
Summary of the Missing Numbers:
- Pattern 1: 36
- Pattern 2: 22, 18
- Pattern 3: 27, -8
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Ans the following patten 1. 4 ,_ ,144, 400 ,9002. 36,34,30,28,24,_,_3. 97,90,76,55 _,_?
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