Question

complete the rows in the table to show what jada and noah would write for stage 5 and stage 10 if they continue their patterns.

stage	number of circles (kiran)	number of circles (jada)	number of circles (noah)
2	4	2·2	2^2
3	8	2·2·2	2^3
4	16	2·2·2·2	2^4
5	32
...	...	...	...
10	1024

check my work

Explanation:

Step1: Identify Jada's pattern

Jada's pattern is multiplying 2 by itself the number of times equal to the stage number.

Step2: Calculate for Stage 5

For stage 5, Jada would write $2\times2\times2\times2\times2$.

Step3: Calculate for Stage 10

For stage 10, Jada would write $2\times2\times2\times2\times2\times2\times2\times2\times2\times2$.

Step4: Identify Noah's pattern

Noah's pattern is $2$ raised to the power of the stage number.

Step5: Calculate for Stage 5

For stage 5, Noah would write $2^{5}$.

Step6: Calculate for Stage 10

For stage 10, Noah would write $2^{10}$.

Answer:

Stage	Number of Circles (Jada)	Number of Circles (Noah)
10	$2\times2\times2\times2\times2\times2\times2\times2\times2\times2$	$2^{10}$