Respuesta :
Answer:10485760
Step-by-step explanation:They're multiplying by -4
The 11th term of the geometric sequence 10, -40, 160 is 10485760.
How to find the nth term of a geometric progression?
The nth term of a geometric progression can be found using the following equation:
[tex]a_{n} =ar^{n-1}[/tex]
- Where a_n is the nth term,
- r is the common multiple and,
- a is the first term.
From the given sequence, we can see that:
a = 10
r = - 40/10
= - 4
Now substitute the values for n = 11:
a_11 = 10 * (-4)^(11-1)
= 10 * (-4)^10
= 10485760
Therefore, we have found the 11th term of the geometric sequence 10, -40, 160 to be 10485760.
Learn more about geometric sequences here: https://brainly.com/question/1509142
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