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What is the 26th prime number?
101
What number comes next in this sequence 100 101 97 106 90 115 79?
128
What is the nth term in this sequence 11 21 35 53 75 101?
To find the nth term of the sequence 11, 21, 35, 53, 75, 101, we can observe the differences between consecutive terms: 10, 14, 18, 22, and 26, which increase by 4 each time. This suggests that the sequence can be described by a quadratic function. The nth term can be represented as ( a_n = 5n^2 + 6n ), where n starts from 1. Thus, the nth term corresponds to this formula for values of n.
What number best complete the sequence 205306427?
If the sequence is 205, 306, 427 then a possible 4th number is 568. The initial difference between 205 and 306 is 101, which increases by 20 at each step. 306 → 427 = 121 : 427 → 568 = 141
What is the sum of all 3 digit numbers that leave a remainder of '2' when divided by 3?
164,850 Calculated as follows: The lowest number is 101 and the highest number is 998. If you use the theory behind factorials, and pair the numbers, the lowest with the highest (101+998=1,099) then the next lowest and next highest (104+995=1,099), etc. they all add to 1,099. The sequence goes by threes: 101, 104, 107, etc There are 300 total numbers in the sequence (the first is 101, and 299 more (299x3=897)...897+101=998). The actual formula is {(998-101)/3} + 1 = 300 (the 1 is for the first number) So that makes 150 pairs of numbers that = 1,099. 150 x 1,099 = 164,850
