Evaluating the tangent function for the two values we obtain the following:
tan 135=tan(135+180)=tan 315=-1
next:
tan -135=tan(180-135)=tan 45=1
thus comparing the two we see that tan 135 is negative while tan -135 is positive
There are 2/8 in 1/4 and 5/10 in 1/2
This is a geometric sequence with first term 1 and common ratio -1/2. r=-1/2.
a(n) = a(1)*(r)^(n-1).
Check: If n=2 our formula must return -1/2. Does it?
a(2) = 1(-1/2)^(2-1) = (-1/2)^1 = - 1/2. Yes.
a(3) should be 1/4. Is it? a(3) = (-1/2)^(3-1) = 1/4 Yes.
Then a(8) = (-1/2)^(8-1) = (-1/2)^7 = -1 / 2^7 = -1/128 (answer)
Answer:
Answer is <em>900</em>.
Step-by-step explanation:
To find:
Increase #500 in the ratio 16:10
Solution:
<em>New Number: Old Number = 16:10</em>
We are given the old number as 500.
Let the new number after increase = 
Now, using the above ratio:
<em /><em>: </em>500<em> = </em>16:10
Therefore, the increased value of 500 in the ration 16:10 is <em>900</em>.
