The <em>twelfth</em> element of the <em>geometric</em> sequence is equal to 4,096. (Correct choice: D)
<h3>How to find a determined element of a geometric sequence by exponential formulae</h3>
Sequences are series of elements generated according to at least one condition, usually equations. <em>geometric</em> sequences are generated according to a <em>exponential</em> formulas, whose form and characteristics are described below:
f(n) = a · bⁿ ⁻ ¹ (1)
Where:
- a - First element of geometric sequence
- b - Common ratio of the geometric sequence
- n - Element index within the geometric sequence
If we know that a = 4, b = 2 and n = 12, then the twelfth element of the geometric sequence from the statement is:
f(12) = 4 · 2¹² ⁻ ¹
f(12) = 4 · 2¹¹
f(12) = 4 · 2,048
f(12) = 4,096
The <em>twelfth</em> element of the <em>geometric</em> sequence is equal to 4,096. (Correct choice: D)
To learn more on geometric sequences: brainly.com/question/4617980
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Answer:
Step-by-step explanation:
we know that
The probability that it will hit a point in the outer (yellow) ring is equal to divide the area of the yellow ring by the total area of the target
step 1
Find the area of the yellow ring
![A=\pi [7^{2} -5^{2}]](https://tex.z-dn.net/?f=A%3D%5Cpi%20%5B7%5E%7B2%7D%20-5%5E%7B2%7D%5D)
step 2
Find the total area of the target
![A=\pi [7^{2}]](https://tex.z-dn.net/?f=A%3D%5Cpi%20%5B7%5E%7B2%7D%5D)
step 3
Find the probability
Convert to percentage
9514 1404 393
Answer:
C. 6
Step-by-step explanation:
XY/AB = 30/5 = 6
Triangle ABC is scaled by a factor of 6 to make triangle XYZ.
Answer:
56 cm Squared
Step-by-step explanation:
area of rectangle =10×5=50
area of smaller rectangle =3×2=6
area of the shape is 56
