64 is the next number
All the numbers have digits that add up to ten:
9 + 1 = 10 (91)
2 + 8 = 10 (28)
7 + 3 = 10 (73)
4 + 6 = 10 (46)
5 + 5 = 10 (55)
But there is more:
Also note that the 9 in 91 and then the 8 in 28 followed by the 7 in 73 and the 6 in 46. These alternate from first digits in 91 ( the 9) to the second digit in 28 (the 8) to the first digit in 73 etc. Similarly, the 1 is second in 91 but the 2 is first in 28 and the 3 is second. So there are two patterns, the digits add up to 10 and the alternating pattern I point out.
Since the last number is 55, we need a 6 in the first position and the means a 4 in the second position of the next number so it is 64, then we need 37.
9 + 1 = 10 (91)
2 + 8 = 10 (28)
7 + 3 = 10 (73)
4 + 6 = 10 (46)
5 + 5 = 10 (55)
6 + 4=10 (64)
3 +7=10 (37)
etc
4 5 6 7 8
7 The pattern is to divide the number by 2, and adding 2 to the answer. 100 . 50 . 52 52 . 26 . 28 28 . 14 . 16 16 . 8 . 10 10 . 5 . 7
-100
7 10 16 28
20
7
It is: 10-3 = 7
70. You just add 14 each time.
4 5 6 7 8
A sequence never ends. The next number in this one is 7 .
It is: 10-3 = 7
26. ---- 24. ---- 27. ---- 25. ---- 28. ----
7 The difference between each successive pair is being halved. 100 -> 52 = 48 52 -> 28 = 24 28 -> 16 = 12 16 -> 10 = 6 Thus the next number is 10 - 6/2 = 7
The next would be 7. 100 minus 48 is 52. 52 minus 24 (half of 48) is 28. 28 minus 12 (half of 24) is 16. etc.. The next in the sequence after 7 would be 5.5.
To get the number to complete the sequence, divide the first number by 2 and then plus 2 to get the next number. Given 100, 52, 28, 16, 10 ____Solution100 / 2 (+2) = 5252 / 2 (+2) = 2828 / 2 (+2) = 1616 / 2 (+2) = 1010 / 2 (+2) = 7Therefore, the number to complete the sequence is 7.
7 The pattern is to divide the number by 2, and adding 2 to the answer. 100 . 50 . 52 52 . 26 . 28 28 . 14 . 16 16 . 8 . 10 10 . 5 . 7
The next number would be 7 * * * * * An assertion with no rationale or justification. I suggest 10, with the following rationale: fit the sequence t(n) = (n4 - 18n3 + 131n2 - 474n + 760)/4 for n = 1, 2, 3, ...