Question

What is the 100th term for the sequence 1,4,9,16​

Answer 1

You can observe that

`a_1=1=1^2`

`a_2=4=2^2`

`a_3=9=3^2`

`a_4=16=4^2`

So, we can extrapolate the general rule

`a_n=n^2`

So, the 100th term will be

`a_(100)=100^2=10000`