Use the midpoint formula and solve. work pictured below
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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A. A coefficient is a constant multiplied with a variable. Example is 20 for 20c and 35 for 35w. A variable is expressed in numerical letters like cfor 20c and w for 35w. A constant is merely a number, like 23.50.
b. w = 12, c = 3; substitute these values to the given equation :
20c+35w+23.5 = ?
20(3)+35(12)+23.5 = $503.5
c. The expression would change for the term 20c. Instead of 20c,it would then be changed to 25c. Note that the equation was made from the problem statement. If one statement changes, then the mathematical terms would be affected. The rest of the other terms would remain as is.
Solution:
Consider the following diagram
extremes and means are multiplied in the diagram. Then we have that:
and this number is represented on the real line as follows:
