Question 1

What is the missing fifth term in the

pattern below?

1, 8, 27, 64, ?

Options:
101
125
128
202
250

Question 2

Answer:

The answer would be 125, because 1*1 = 1 2*2*2= 8 and so forth

Explanation:

I hope this helps

Question 3

$\huge\text{Hey there!}$

$\huge\textbf{Your equation:}$

$\mathsf{1, 8, 27, 64, ?}$

$\huge\textbf{LET'S CONVERT IT TO FOR EASIER}\\\\\huge\textbf{TO UNDERSTAND A WHOLE LOT}\\\\\huge\textbf{BETTER.}$

$\mathsf{1^3, 2^3, 3^3, 4^3, ?}$

$\huge\textbf{Notice the pattern?}\\\\\\\\\huge\textbf{So, that means your mystery number}\\\\\huge\textbf{has to be squared (also known as to the}\\\\\huge\textbf{power of 3}$

$\huge\textbf{Breaking down the exponents}$

$\mathsf{1^3}\\\mathsf{= 1*1*1}\\\mathsf{= 1*1}\\\mathsf{= \bf 1}$

$\mathsf{2^3}\\\mathsf{= 2*2*2}\\\mathsf{= 4*2}\\\mathsf{= \bf 8}$

$\mathsf{3^3}\\\mathsf{= 3*3*3}\\\mathsf{= 9*3}\\\mathsf{= \bf 27}$

$\mathsf{4^3}\\\mathsf{= 4*4*4}\\\mathsf{= 16*4}\\\mathsf{= \bf 64}$

$\huge\textbf{If you didn't notice that your}\\\\\huge\textbf{exponents went like 1,2,3,4.}\\\\\\\\\huge\textbf{so that your mystery number has to}\\\\\huge\textbf{be 5 squared}$