Question

What is a11 for the geometric sequence 3,072;−1,536;768;−384;….

Answer Choices:
A. 0.5
B. 3
C. 12
D. 6

Answer 1

B. 3
Here’s why

t1 = 3072, r = -1/2

t11 = 3072 (-1/2)^10 = 3

Answer 2

The required  11th term in the geometric sequence is 3. Option B is correct.

Given geometric sequence  3,072 , −1,536 , 768, −384, … . so on.
What is a11 for the geometric sequence is to be determined.

What is geometric progression?

Geometric progression is the sequence of series whose ratio with adjacent values remains the same.

What is arithmetic progression?

Arithmetic progression is the series of numbers that have a common differences between adjacent values.

For geometric series 3,072;−1,536;768;−384 ;….
a = 3072
r = - 1536/3072
r = -0.5
the nth term of the geometric progression,
$a_n=ar^{n-1}$
$a_{11} = 3072(-0.5)^{10}$
11 th term =  3

Thus, The required  11th term in the geometric sequence is 3

Learn more about geometric progression here: https://brainly.com/question/4853032

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