Multiply 2 by 1/2 to get 1.
Multiply 1 by 2/3 to get 2/3.
Multiply 2/3 by 3/4 to get 6/12 = 1/2.
Multiply 1/2 by 4/5 to get 4/10 = 2/5.
Multiply 2/5 by 5/6 to get 10/30 = 1/3.
Multiply 1/3 by 6/7 to get 6/21 = 2/7. (I suspect there's a typo in the question.)
And so on, so that the <em>n</em>th term in the sequence is multiplied by <em>n</em>/(<em>n</em> + 1) to get the (<em>n</em> + 1)th term.
Recursively, the sequence is given by

We can solve this exactly by iterating:

and so on down to

or

and with lots of cancellation, we end up with

Answer:
For the first one
x= About 32.02
y= About 27.58
z= About 55.16
For the second one
x= 6
y= 12
z= about 16.97
Step-by-step explanation:
Their all really simple
These are special right triangles, a 45, 45, 90 and a 30, 60, 90 triangle. The formla for these triangles are shown in the picture below.
Now for the first one ]
Lets find Z first
Now this is a 45 special right triangle so we know the other side s 39 but the hypotenuse is n
(I’m using N becuase x and y is taken) So n is basically 39 (look at the image below) and just solve that. Now for x and y. We know its a 30, special right triangle. We know that 39 here is already the answer for N
so make an equation to find the n and you’ll get 27.58 for y. Now For x, its just doubled the y.
For the second one this is easier
We know that the x is (6) becuase its already in the radical number, now to find the hypotnuse, we double that and get 12. Now we know what y is becuase since the 2nd triangle is a 45/45/90, we know that 12 is y, the hypotnuse is just N
and we just plug in the n with 12 and solve it!
Answer:
c
Step-by-step explanation:
25 x 5 = 125
125 x 5 = 625
625 x 4 = 2500
So, 25 x 5 x 5 x 4 is 2,500
Vote Brainliest, Thx :)
Answer:
y = (x -2)^2 +4
Step-by-step explanation:
The vertex form of the equation of a parabola is ...
y = a(x -h)^2 +k
for vertex (h, k) and vertical scale factor "a". When a > 0, the parabola opens upward.
One equation for your parabola could be ...
y = (x -2)^2 +4
__
In standard form this one is ...
y = x^2 -4x +8