Answer:
Common ratio, r=-3
Recursive Formula
![f(n)=-3f(n-1),$ $n\geq 2\\f(1)=-\dfrac{1}{9},](https://tex.z-dn.net/?f=f%28n%29%3D-3f%28n-1%29%2C%24%20%20%20%24n%5Cgeq%202%5C%5Cf%281%29%3D-%5Cdfrac%7B1%7D%7B9%7D%2C)
Step-by-step explanation:
The formula for the geometric sequence:
is given as:
![f(x)=-\dfrac{1}{9}(-3)^{x-1}](https://tex.z-dn.net/?f=f%28x%29%3D-%5Cdfrac%7B1%7D%7B9%7D%28-3%29%5E%7Bx-1%7D)
<u>Common Ratio</u>
Dividing the next terms by the previous terms, we obtain:
![\dfrac{1}{3} \div -\dfrac{1}{9} = \dfrac{1}{3} \times -9 =-3\\3 \div -1 =-3\\-9 \div 3 =-3](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B3%7D%20%5Cdiv%20-%5Cdfrac%7B1%7D%7B9%7D%20%3D%20%5Cdfrac%7B1%7D%7B3%7D%20%5Ctimes%20-9%20%3D-3%5C%5C3%20%5Cdiv%20-1%20%3D-3%5C%5C-9%20%5Cdiv%203%20%3D-3)
Therefore, the common ratio of the sequence, r=-3
<u>Recursive Formula</u>
We observe that the next term,
is obtained by the multiplication of the previous term. f(n-1) by -3.
Therefore, a recursive formula for the sequence is:
![f(n)=-3f(n-1),$ $n\geq 2\\f(1)=-\dfrac{1}{9},](https://tex.z-dn.net/?f=f%28n%29%3D-3f%28n-1%29%2C%24%20%20%20%24n%5Cgeq%202%5C%5Cf%281%29%3D-%5Cdfrac%7B1%7D%7B9%7D%2C)
E multiplication comes first
I would say did not pass
passed vs did not pass
the first one refers to if she took it or not which was assumed in the first statemtn
the 2nd one is kind of in the midle, it isn't a negation, but it is a partial negatiion
3rd is like the first, the statemtnet doesn't mention attendance
4th is right, passed vs did not pass
answer is Maria did not pass the English exam
Answer:
a) cos
b) sin
c) tan maybe?
Step-by-step explanation:
Answer:An acute angle is a type of angle that measures less than 90°. For example, when the time is 11 o'clock, the angle formed between the hour hand and the minute hand is an acute angle. In other words, 30°, 40°, 57°, and so on are all acute angles.
Step-by-step explanation: