Answer:
Explanation:
Given
Each term after the second term is the average of all of the preceding terms
Required:
Explain how to solve the 2020th term
Solve the 2020th term
Solving the 2020th term of a sequence using conventional method may be a little bit difficult but in questions like this, it's not.
The very first thing to do is to solve for the third term;
The value of the third term is the value of every other term after the second term of the sequence; So, what I'll do is that I'll assign the value of the third term to the 2020th term
<em>This is proved as follows;</em>
From the question, we have that "..... each term after the second term is the average of all of the preceding terms", in other words the MEAN
<em>Assume n = 3</em>
<em>Multiply both sides by 2</em>
<em>Assume n = 4</em>
Substitute
Assume n = 5
Substitute and
<em>Replace 5 with n</em>
<em>(n-1) will definitely cancel out (n-1); So, we're left with</em>
Hence,
Calculating 
Recall that
Answer:
0.027 cubic ft/min
Explanation:
Volume of water is V=V(t) Depth of water is h=h(t)
The relationship between V and h is
V=π/3.r2.h
Let
h0= the height of the cylinder = 24ft, r0= the radius of the opening = 10ft.
Since water level (h) rise with respect to flow rate we find an expression for r and substitute into V
r/h = r0/h0= 10/24 = 5/12
r = (5/12) h,
Substitute for r in V
so,
V=1/3.π.(h2)square = 1/3.π. 25/144.(h3)
When
h= 16ft
and dV/dt = 20ft3/min
,
dV/dt =1/3*π*25/144*h3*(dh/dt)
20ft3/min= 1/3*π* 25/144*h3*(dh/dt)
20 = 1/3*π*(16)3.(dh/dt)
Make dh/DT subject of formula
dh/dt=(20*3*144)/(25*π*4096) = 8640/321740.8
=
dh/dt= 0.027 ft3/min
Answer:
which language is this ......?
Hi!
Your answer is C.
A is an example because it's not good to only make identify one solution; you need backups or a variety of ways.
B is an example because, hey, not everything is true! Especially on the internet. Questioning source information is great because then you are sure what you are seeing is unbiased and accurate.
C is NOT an example. As stated above, you need a variety of solutions, but you can't just pick the first solution; you want to pick the <em>best</em> solution for the problem at hand.
D is an example. As stated above, questioning source information is great, but then you need to also verify it, because, like said before, not everything is true.
