Answer :
Let's solve each sequence pattern individually:
Sequence: 366, 318, 294, 282, 276, ?
The pattern here involves subtraction:- 366 - 48 = 318
- 318 - 24 = 294
- 294 - 12 = 282
- 282 - 6 = 276
Continuing this pattern of subtraction by successively halving the previous difference: - 276 - 3 = 273
Thus, the missing number is 273. - Option D) 273
Sequence: 2, 3, 8, 27, 112, ?
The pattern appears to be multiplying by a factor that increases each time:- 2 x 1.5 + 0 = 3
- 3 x 2 + 2 = 8
- 8 x 3 + 3 = 27
- 27 x 4 + 4 = 112
Continuing this pattern: - 112 x 5 + 5 = 565
Hence, the missing number is 565. - Option A) 565
Sequence: 100, 97.4, 94.8, ?, 89.6, 87
The pattern involves a consistent subtraction of 2.6:- 100 - 2.6 = 97.4
- 97.4 - 2.6 = 94.8
To find the next number: - 94.8 - 2.6 = 92.2
The missing number is 92.2. - Option B) 92.2
Sequence: 38, 24, 62, 12, 74, ?
This sequence involves alternating patterns:- 38 - 14 = 24
- 62 - 50 = 12
Continuing this pattern: - Next number - 12 = 74 - 62 = 12
Therefore, the missing number is 86. - Option C) 86
Sequence: 5, 6, 8, ?, 20, 36, 68
The pattern observes numbers that are roughly doubling and adding subsequent squares:- 5 + 1 = 6
- 6 + 2 = 8
Following this: - 8 + 3^2 = 17
Thus the missing number is 17. - Option A) 17