Answer:
10240
Step-by-step explanation:
As it is a geometric sequence, you multiply each time with the same number but it is raised to a certain power (1 for the first value, 2 for the second, etc.) Here, we can see the number is -2 as -2x 10 = -20 and 10x [tex]10 X (-2)^{2} = 40[/tex]
We mustcontinue to the tenth value which will be:
[tex]10 X (-2)^{10} = 10 X 2x^{10} = 10240[/tex]