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Q: What number comes next in the sequence 4 13 40 121?

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121.

121

49

144

61 81 101 121 141...you get were im coming from!

(1) Take the difference of the two previous numbers in sequence (2) Add 4 to this difference. (3) Take the number from step #2 and add it to the previous number in the sequence. For example, to find the next number in the sequence: (1) 121 - 90 = 31 (2) 31 + 4 = 35 (3) 121 + 35 = 156

121

289 because each consecutive prime number is squared.

169

121

There appears to be no discernible pattern for these numbers, other than them increasing in arbitrary multiples of 6.

2121

One of my colleague's daughter asked the same question (it was a home work question to be solved for the Maths class). We could not find out the answer, and the next day the Maths teacher said that the book had been wrong (a mistake in the sequence).The sequence that was given was 142, 121, 110.But should have been: 132, 121, 110 (minus 11 for each of the next numbers).Perhaps this is not an answer, but when this girl was given the same question, it was actually a spelling mistake in the question (wrong number). So perhaps this is the case in this situation as well :)

== 49 == 144 = 122 121 = 112 100 = 102 81 = 92 64 = 82 Implies 122, 112, 102, 92, 82 So the next number should be 72 = 49. So, the next number is 49.

121

112 = 121122 = 144 is your answer

25 36 49 64 81 100 121 144

The sequence continues: 49, 64, 81, 100, 121, 144, 169, 196, 225, .... The given sequence is the squares of the numbers 2, 3, 4, 5, 6 so the next numbers in the sequence are the squares of 7, 8, 9, 10, 11, ...

169

yes

1563253

222. To get from 5 to 12, we add 7. To get from 12 to 26, we add 14. To get from 26 to 54, we add 28. To get from 54 to 110, we add 56. The number added is doubling each time. So next time we need to add 112 (56*2), so the next number in the sequence is 222.

The first sequence is f(n) = (3n + 2)2 . So the next number is 400. The second sequence is f(n) = f(n - 1) + 6(sum of values 1 to (n - 1)) + 1, with f(0) = -10. So the next number is 333.

111

121