When

, you have

.
When

, you have

.
Clearly,

.
Assume

. Now when

, you have

Therefore by induction the sequence is monotone (decreasing).
Answer:
I'm not to sure but I think it's 39 11/20
Step-by-step explanation:
1/5 + 1/4 you have to get a common denominator which would be 20 and then you add the numerators to get 9. Then you would subtract 40 from 9/20 and have to get the common denominator again which would be 800/20 - 9/20 which is 751/20 simplified to 39 55/100 simplified even more to 39 11/20. I haven't done fractions for a while so it might be wrong. I hope I helped!
Factor <span><span><span>2<span>x^2</span></span>−<span>10x</span></span>+2
</span><span><span><span>2<span>x^2</span></span>−<span>10x</span></span>+2</span>
<span>
2<span>(<span><span><span>x2</span>−<span>5x</span></span>+1</span>)</span></span>
6.9 as a fraction or mixed number
6.9 = 6 9/10
This is also the same as 69/10
The m,maximum height is the vertex. The (x, y)
x is the time
y is the height
h= -5t2 + 21t
find the vertex
-b/2a is the x
-21/2(-5) = -2.1 (-10) = -2.1 is that man seconds its at its highest
now plug into
h= -5(2.1)^2 + 21(2.1) the answer is the max height