Question

0, 4, 16, 36, 64

Explanation:

Step1: Identify pattern in terms

Notice each term is $(2n)^2$, $n=0,1,2,3,4...$

Step2: Verify with given terms

$n=0$: $(2\times0)^2=0$; $n=1$: $(2\times1)^2=4$; $n=2$: $(2\times2)^2=16$; $n=3$: $(2\times3)^2=36$; $n=4$: $(2\times4)^2=64$

Step3: Find next term (if needed)

For $n=5$: $(2\times5)^2=100$

Answer:

The sequence follows the formula $\boldsymbol{(2n)^2}$ where $n$ starts at 0. The next term in the sequence is $\boldsymbol{100}$.