Thinking Challenge 3

• List down the powers of $2$

$1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096 \ldots$

• Now group then into a string of numbers

$1248163264128256512102420484096$

• Now make groups into 3

$\underbrace{124}_{1} \quad \underbrace{816}_{2} \quad \underbrace{326}_{3} \quad \underbrace{412}_{4} \quad \underbrace{825}_{5} \quad \underbrace{651}_{6} \quad \underbrace{210}_{7} \quad \underbrace{\red{242}}_{\red{8}}$

We write the powers of 2:

1,2,4,8,16,32,64,128,256,512,1024,2048

Then we remove the commas and group into groups of 3:

124 816 326 412 825 651 210 242 048

We see that the 8th term is 242.