Answer: h=(D²-s)/3
Step-by-step explanation: D² =3h+s
Subtract a from both sides of the equation
D²-s =3h+s-s
Simplifying,
D²-s =3h
Divide both sides by 3( to isolate 'h')
(D²-s)/3 =3h/3
Simplifying,
(D²-s)/3 =h
Hence, h= (D²-s)/3
Hope it helps!
By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is
<h3>What is
sequence ?</h3>
Sequence is collection of numbers with some pattern .
Given sequence
![a_{1}=5\\\\a_{2}=-10\\\\\\a_{3}=20](https://tex.z-dn.net/?f=a_%7B1%7D%3D5%5C%5C%5C%5Ca_%7B2%7D%3D-10%5C%5C%5C%5C%5C%5Ca_%7B3%7D%3D20)
We can see that
![\frac{a_1}{a_2}=\frac{-10}{5}=-2\\](https://tex.z-dn.net/?f=%5Cfrac%7Ba_1%7D%7Ba_2%7D%3D%5Cfrac%7B-10%7D%7B5%7D%3D-2%5C%5C)
and
![\frac{a_2}{a_3}=\frac{20}{-10}=-2\\](https://tex.z-dn.net/?f=%5Cfrac%7Ba_2%7D%7Ba_3%7D%3D%5Cfrac%7B20%7D%7B-10%7D%3D-2%5C%5C)
Hence we can say that given sequence is Geometric progression whose first term is 5 and common ratio is -2
Now
term of this Geometric progression can be written as
![T_{n}= 5\times(-2)^{n-1}](https://tex.z-dn.net/?f=T_%7Bn%7D%3D%205%5Ctimes%28-2%29%5E%7Bn-1%7D)
So summation of 15 terms can be written as
![\sum_{n=4}^{15} T_{n}\\\\$\\$\sum_{n=4}^{15} 5(-2)^{n-1}$$](https://tex.z-dn.net/?f=%5Csum_%7Bn%3D4%7D%5E%7B15%7D%20T_%7Bn%7D%5C%5C%5C%5C%24%5C%5C%24%5Csum_%7Bn%3D4%7D%5E%7B15%7D%205%28-2%29%5E%7Bn-1%7D%24%24)
By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is
To learn more about Geometric progression visit : brainly.com/question/14320920
Answer: f^{-1}(x) = 3-x/3
Step-by-step explanation: Let y = f(x) and rearrange making x the subject, that is...
1. y = - 3x + 3 ( add 3x to both sides )
2. 3x + y = 3 ( subtract y from both sides )
3. 3x = 3 - y ( divide both sides by 3 )
4. x = 3-y/3
Change x back into terms of y
f^{-1}(x) = 3-x/3
You do 9x27=243 then take 2x31=62 add 243+62=305 then take 305 and subtract it from 28 305-28=277
so if i did it right you should get n=277
Answer:
73-2n
Step-by-step explanation: