Question

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

Answer 1

Answer:

Here we are given with the numbers 4 16 36 64 100

So 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=12

36–16=20

64–36=28

100–64=36

So 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=144

144+52=196

196+60=256

So the next 3 numbers are 144,196,256