Question

Find the next three terms in the sequence 4, 16, 36, 64, 100,

Answer 1

First we have to find the pattern: 16-4=12, 36-16=20, 64-36=28, 100-64=36

We see in the pattern the next number is increased by 8. (20-12=8, 28-20=8, etc) So the next number would be 36+8=44 and then we add that to the last number of the sequence: 100+44=144

 next number would be 44 +8 =52, 144 +52 = 196

 3rd number would be 52+8=60, 196 +60 = 256

so next 3 numbers are 144, 196, 256