17, 18, 22, 31, 47,? 72 63 56 48 324, 256, 196, 144,? 98 64 100 104 2:15, 3:47, 5:19, 6:51, ? 7:23 8:47 7:32 8:23
The Correct Answer and Explanation is:
Here are the solutions to the three sequence puzzles presented in the image.
First Sequence: 17, 18, 22, 31, 47, ?
To solve this puzzle, we must first examine the difference between each consecutive number in the series.
The difference between 18 and 17 is 1.
The difference between 22 and 18 is 4.
The difference between 31 and 22 is 9.
The difference between 47 and 31 is 16.
This reveals a new sequence of differences: 1, 4, 9, 16. These numbers are the squares of consecutive integers (1², 2², 3², 4²). Following this pattern, the next difference should be 5², which is 25. To find the next number in the original sequence, we add 25 to the last term, 47. The calculation is 47 + 25 = 72.
The correct answer is 72.
Second Sequence: 324, 256, 196, 144, ?
This sequence is composed of perfect squares. To find the pattern, we can take the square root of each number.
The square root of 324 is 18.
The square root of 256 is 16.
The square root of 196 is 14.
The square root of 144 is 12.
The resulting sequence of roots is 18, 16, 14, 12. This is a simple arithmetic progression where 2 is subtracted from each term to get the next. The next number in this progression is 12 – 2 = 10. To find the next term in the original sequence, we square this number: 10² = 100.
The correct answer is 100.
Third Sequence: 2:15, 3:47, 5:19, 6:51, ?
This sequence consists of time values. The pattern is a constant interval added to each term. Let’s calculate the difference between the first two terms. From 2:15 to 3:47 is an increase of 1 hour and 32 minutes. We can check if this interval is consistent. Adding 1 hour and 32 minutes to 3:47 gives 5:19. Adding another 1 hour and 32 minutes to 5:19 gives 6:51. The pattern is consistent. To find the next term, we add 1 hour and 32 minutes to 6:51. Adding 1 hour to 6:51 gives 7:51. Adding 32 minutes to 7:51 gives 8:23, since 51 + 32 = 83 minutes, which is 1 hour and 23 minutes.
The correct answer is 8:23.
