Answer :
The missing number in the table is 1296
The y-values of the table form a geometric sequence as shown:
6, 36, 216,......
The nth term of a geometric progression is expressed using the formula;
[tex]T_n=ar^{n-1}[/tex]
- a is the first term = 6
- r is the common ratio = 36/6 = 216/36 = 6
- n is the number of terms = 4 (since we need the 4th term)
Substitute the given parameters into the formula:
[tex]T_5=6(6)^{4-1}\\T_5=6(6)^3\\T_5=1296[/tex]
Hence the missing number in the table is 1296
Learn more on geometric sequence here; https://brainly.com/question/1509142