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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The formula for volume of a cone is V=(1/3)*h*π*(r^2)
our height is 7.5 feet, and since the length of the base of the cone (diameter) is 22 feet long, the radius is 11 feet long.
(1/3)*7.5*π*(11^2)=302.5*π=950.3
so the volume of the house is about 950 feet cubed.
Answer:
-10.6 and ⁹/₁₀
Step-by-step explanation:
The constants are the numbers that stand by themselves: -10.6 and ⁹/₁₀.
The <em>variables</em> are m and n.
The <em>coefficients</em> are the numbers in front of the variables: ⅖, 2.4, and 3.
Answer:
how many yards does each piece have to be
Step-by-step explanation:
Answer:
Step-by-step explanation:
Fraction :x/y
numerator x = y - 2
Now the fraction can be written as: (y-2)/y
3 is added to both denominator and numerator.
After adding 3, the new fraction = 
The sum of the new fraction and the original fraction is 53/35
35*(2y² + 2y - 6) = 53 *(y² + 3y)
35*2y² + 2y * 35 - 6*35 = 53 *y² + 53*3y
70y² + 70y - 210 = 53y² + 159y
70y² + 70y - 210 - 53y² - 159y = 0
70y² - 53y² + 70y - 159y - 210 = 0
17y² - 89y - 210 = 0
