Write {4, 16, 36, 64, 100, 144} in set builder notation

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Question:

Write {4, 16, 36, 64, 100, 144} in set builder notation

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Answer:Here we are given with the numbers 4 16 36 64 100So in these kind of questions we have to find what common pattern is prevailing so in this one:Subtracting every no from it's succeeding no gives a difference and those respective differences are forming pattern as follows:16–4=1236–16=2064–36=28100–64=36So we have a new series 12 20 28 36 in this Subtracting every no from it's succeeding no gives a difference of 8 now in the latter series continues with the same pattern of difference of 8 and the series proceeds with next numbers 44 52 60 now these no gets added in the first original series as described as follows :100+44=144144+52=196196+60=256So the next 3 numbers are 144,196,256

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