Answer:
the answer for that is 35 letter D
Answer:
a(n) = ![(-2)(a_{n-1})](https://tex.z-dn.net/?f=%28-2%29%28a_%7Bn-1%7D%29)
![a_{1}=5](https://tex.z-dn.net/?f=a_%7B1%7D%3D5)
Step-by-step explanation:
The given expression is in the form of the explicit formula of a geometric sequence.
f(n) = ![a(r)^{n-1}](https://tex.z-dn.net/?f=a%28r%29%5E%7Bn-1%7D)
Where 'a' = First term of the sequence
r = common ratio
Recursive formula of a geometric sequence is,
a(n) = ![(a_{n-1}).(r)^{n-1}](https://tex.z-dn.net/?f=%28a_%7Bn-1%7D%29.%28r%29%5E%7Bn-1%7D)
a(n) = ![(-2)(a_{n-1})](https://tex.z-dn.net/?f=%28-2%29%28a_%7Bn-1%7D%29)
Where, ![a_{1}=5](https://tex.z-dn.net/?f=a_%7B1%7D%3D5)
So the recursive formula will be a(n) = ![(-2)(a_{n-1})](https://tex.z-dn.net/?f=%28-2%29%28a_%7Bn-1%7D%29)
Answer:
M = (1.5, 0.5)
Step-by-step explanation:
Use the midpoint formula to find the midpoint between two points
Answer:
d. ![62\degree](https://tex.z-dn.net/?f=62%5Cdegree)
Step-by-step explanation:
The given triangle is a right triangle with all the sides given.
We can use any of the trigonometric ratios to find m<G.
Recall the mnemonics. SOH CAH TOA
Let us use the sine ratio.
![\sin(m\angle G)=\frac{Opposite}{Hypotenuse}](https://tex.z-dn.net/?f=%5Csin%28m%5Cangle%20G%29%3D%5Cfrac%7BOpposite%7D%7BHypotenuse%7D)
![\sin(m\angle G)=\frac{15}{17}](https://tex.z-dn.net/?f=%5Csin%28m%5Cangle%20G%29%3D%5Cfrac%7B15%7D%7B17%7D)
![m\angle G=\sin^{-1}(\frac{15}{17})](https://tex.z-dn.net/?f=m%5Cangle%20G%3D%5Csin%5E%7B-1%7D%28%5Cfrac%7B15%7D%7B17%7D%29)
![m\angle G=61.9](https://tex.z-dn.net/?f=m%5Cangle%20G%3D61.9)
to the nearest degree.
Answer:
B
Step-by-step explanation:
First of all
- Side opposite to Angle A = BC
- Side opposite to Angle B = AC
- Side opposite to Angle C = AB
We also know that smallest side is opposite the smallest angle and largest side is opposite the largest angle. The remaining side opposite of remaining angle.
It is given
A = 80
B = 30
C = 70
So, largest angle is Angle A and opposite side is BC
2nd largest angle is Angle C and opposite side is AB
smallest angle is Angle B and opposite side is AC
So, sides Largest - Smallest is:
BC, AB, AC
That is option B