= 1455
generate a few terms of the sequence using
= 3n + 2
= ( 3 × 1) + 2 = 5
= (3 × 2) + 2 = 8
= (3 × 3 ) + 2 = 11
= (3 × 4 ) + 2 = 14
= ( 3 × 5 ) + 2 = 17
the terms are 5, 8, 11, 14, 17
these are the terms of an arithmetic sequence
sum to n terms is calculated using
=
[ 2a + (n-1)d]
where a is the first term and d the common difference
d = 8 - 5 = 11 - 8 = 14 - 11 = 3 and
= 5
=
[( 2 × 5) + (29 × 3) ]
= 15( 10 + 87) = 15 × 97 = 1455
Answer: ![QS=11.8cm](https://tex.z-dn.net/?f=QS%3D11.8cm)
Step-by-step explanation:
1. You have the following information:
- The lenght of
is 2 centimeters.
- The angle m∠S=80°.
- Cos80°=0.17
2. Therefore, you can calculate the lenght of the segment
as following:
![cos80=\frac{adjacent}{hypotenuse}](https://tex.z-dn.net/?f=cos80%3D%5Cfrac%7Badjacent%7D%7Bhypotenuse%7D)
![adjacent=2cm\\hypotenuse=QS\\cos80=0.17](https://tex.z-dn.net/?f=adjacent%3D2cm%5C%5Chypotenuse%3DQS%5C%5Ccos80%3D0.17)
3. Substitute values and solve for
:
![0.17=\frac{2cm}{QS}\\QS=\frac{2cm}{0.17} \\QS=11.76cm](https://tex.z-dn.net/?f=0.17%3D%5Cfrac%7B2cm%7D%7BQS%7D%5C%5CQS%3D%5Cfrac%7B2cm%7D%7B0.17%7D%20%5C%5CQS%3D11.76cm)
4. To the nearest tenth:
![QS=11.8cm](https://tex.z-dn.net/?f=QS%3D11.8cm)
Answer:
![f^{-1}(x)=y/3-1/9](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3Dy%2F3-1%2F9)
Step-by-step explanation:
![f(x)=3x-2/6](https://tex.z-dn.net/?f=f%28x%29%3D3x-2%2F6)
![f^{-1}(x)=x/3-1/9](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3Dx%2F3-1%2F9)
if ![f(x)=(3x-2)/6](https://tex.z-dn.net/?f=f%28x%29%3D%283x-2%29%2F6)
answer:![f^{-1}(x)=(6x+2)/3](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D%286x%2B2%29%2F3)
Answer:
It is closer to 7,000 than 8,000
Answer:
x + 6 =
Step-by-step explanation:
In math sum means addition, difference is subtraction, product is multiplication, and quotient is division