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Q: What is the next number in this sequence 144 121 100 81 64?

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121

144

121.

121

22

121/100 = 121/100

121

121

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

100, 121, 144...

49

25 36 49 64 81 100 121 144

(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

121As 100 = 102 then the next largest square number will have to be 112 which is equal to 121.

49

289 because each consecutive prime number is squared.

== 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

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, ...

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

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.

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 :)

The first thing to notice is that all the numbers in the sequence are square numbers. 25=5x5 36=6x6 49=7x7 64=8x8 81=9x9 So the next three numbers to be squared are 10, 11 and 12. 10x10=100 11x11=121 12x12=144 Thus, the next three numbers in the sequence are 100, 121, 144 The equation for the sequence is (n+4)2

144 121 100 81 64 next one would be 49. my guess is the 122 is a typo. so its 12x12 11x11 10x10 etc

112 = 121 and 122 = 144.

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