114
This is called "square" sequence.144 = 122121 = 11264 = 8249 = 72Thus the missing numbers are 92 and 102 which are 81 and 100
Ascending terms in the sequence are equal to 12, 32, 52, __, 92, and, for some reason, 102, not 112. Therefore, assuming the last term in the sequence to be 112 = 121, the fourth term in the sequence is 72 = 49.
24, 25, 26, 27 (next to each other and add up to 102)
The two numbers would be 102 and 104. (102+104=206)
102
This is called "square" sequence.144 = 122121 = 11264 = 8249 = 72Thus the missing numbers are 92 and 102 which are 81 and 100
63, 102, 165...
110
Ascending terms in the sequence are equal to 12, 32, 52, __, 92, and, for some reason, 102, not 112. Therefore, assuming the last term in the sequence to be 112 = 121, the fourth term in the sequence is 72 = 49.
24, 25, 26, 27 (next to each other and add up to 102)
The next series in the pattern would start at 102 + 666. the pattern is +6, +66, and, presumably, +666. If the pattern were to hold true and continue it should be 768, 769, 770, 771, 772, 773, 774 that is a total of 6 numbers before the next series in the pattern and then 774 + 6666 for 4 numbers... the sequence for the pattern is 2, 5, 3, 6, 4, 7,...
To find the even numbers between 100 and 400, we note that the range includes numbers from 102 to 398. The first even number is 102, and the last is 398. The even numbers form an arithmetic sequence with a common difference of 2. To find the count, we can use the formula for the number of terms in an arithmetic sequence: ( n = \frac{(last - first)}{difference} + 1 ), which gives ( n = \frac{(398 - 102)}{2} + 1 = 149 ). Thus, there are 149 even numbers between 100 and 400.
The next number is 54. The sequence is generated by the rule: Un = (n4 - 11n3 + 51n2 - 107n + 102)/4 for n = 1, 2, 3, ... and U6 = 54.
Answer: 144, 169, 225 Explanation: 72=49, 92=81, similarly 102=100, 122=144
103, 104, 105 * * * * * Probably not 105, because the rest form the sequence 18 to 29, in base 10, expressed as base 5 numbers. If so, 104 would be followed by 110, 111, 112, ...
There are no two consecutive numbers that add or multiply to 102.
There are 27 prime numbers less than 102.