Find the 8th term of the geometric sequence 7,28,112,...
2 answers:
Given that the sequence is gemoetric, you must find R.
R is equal to any given term divided by the term before it.
112/28 = 4
28/7 = 4
This sequence multiplies by 4 every time
I assume yall start at s1 not s0, so simply make an equation that multiplies by 4 every time that s increases
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<em>plug in 8 </em>
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The answer is 114sqrt{6} in³
A regular hexahedron is actually a cube.
Diagonal of a cube D is a hypotenuse of a right triangle which other two legs are face diagonal (f) and length of a side (a):
D² = f² + a²
Face diagonal is a hypotenuse of a right triangle which sides are a and a:
f² = a² + a² =2a²
D² = f² + a²
f² = 2a²
D² = 2a² + a² = 3a²
D = √3a² = √3 * √a² = √3 * a = a√3
Volume of a cube with side a is: V = a³
D = a√3
⇒ a = D/√3
V = a³ = (D/√3)³
We have:
D = 8√2 in
A regular hexahedron is actually a cube.
Diagonal of a cube D is a hypotenuse of a right triangle which other two legs are face diagonal (f) and length of a side (a):
D² = f² + a²
Face diagonal is a hypotenuse of a right triangle which sides are a and a:
f² = a² + a² =2a²
D² = f² + a²
f² = 2a²
D² = 2a² + a² = 3a²
D = √3a² = √3 * √a² = √3 * a = a√3
Volume of a cube with side a is: V = a³
D = a√3
⇒ a = D/√3
V = a³ = (D/√3)³
We have:
D = 8√2 in
Answer:
The value of the x is 1/9.
Step-by-step explanation:
Data provided in the question is:
To find out:-
the value of x.
Solution for the equation:-
On solving the given question or equation by using mathematics of algebra we find out the value of x to be 1/9.