Answer:
The function rule is
Step-by-step explanation:
The given ordered pairs are (0,-1), (1,0),(2,3),(3,8),(4,15)
We can observe the following pattern.
When we generalize this pattern, we obtain:
This is the function equation.
The function rule is
X=3
r<span>≥8
n=6
Plug the answers in until you get on that fits the best.</span>
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:
⅓
Step-by-step explanation:
8+7+6
total= 21
blue= 7÷21
1/3
