Answer:
18
Step-by-step explanation:
Given
x - 1 = 2 ( add 1 to both sides )
x = 3
Then
2x² = 2(3)² = 2 × 9 = 18
so with 1/6 gram of honey you can make 1/12 pan of pudding
that means with 6/6 or 1 gram of honey you can make 6/12 pan of pudding
then 2 gram of honey is needed to make 12/12 or 1 full pan of pudding
Answer:
(A)
![C_n=3+2n](https://tex.z-dn.net/?f=C_n%3D3%2B2n)
(B)
![C_1_0=23](https://tex.z-dn.net/?f=C_1_0%3D23)
Step-by-step explanation:
(A)
we are given
![C_n_+_1=C_n+2](https://tex.z-dn.net/?f=C_n_%2B_1%3DC_n%2B2)
![C_1=5](https://tex.z-dn.net/?f=C_1%3D5)
Firstly, we will find few terms
![C_2=C_1+2](https://tex.z-dn.net/?f=C_2%3DC_1%2B2)
![C_2=5+2](https://tex.z-dn.net/?f=C_2%3D5%2B2)
![C_2=7](https://tex.z-dn.net/?f=C_2%3D7)
![C_3=C_2+2](https://tex.z-dn.net/?f=C_3%3DC_2%2B2)
![C_3=7+2](https://tex.z-dn.net/?f=C_3%3D7%2B2)
![C_3=9](https://tex.z-dn.net/?f=C_3%3D9)
![C_4=C_3+2](https://tex.z-dn.net/?f=C_4%3DC_3%2B2)
![C_4=9+2](https://tex.z-dn.net/?f=C_4%3D9%2B2)
![C_4=11](https://tex.z-dn.net/?f=C_4%3D11)
so, we will get terms as
5, 7 , 9 , 11
we can see that this is arithematic sequence
First term =5
common difference =d=7-5=2
now, we can use nth term formula
![C_n=C_1+(n-1)d](https://tex.z-dn.net/?f=C_n%3DC_1%2B%28n-1%29d)
now, we can plug values
![C_n=5+2(n-1)](https://tex.z-dn.net/?f=C_n%3D5%2B2%28n-1%29)
![C_n=5+2n-2](https://tex.z-dn.net/?f=C_n%3D5%2B2n-2)
![C_n=3+2n](https://tex.z-dn.net/?f=C_n%3D3%2B2n)
(B)
we can plug n=10
![C_1_0=3+2\times 10](https://tex.z-dn.net/?f=C_1_0%3D3%2B2%5Ctimes%2010)
![C_1_0=23](https://tex.z-dn.net/?f=C_1_0%3D23)
-1*-6=6
-1+(-6)=-7
Hope that helped
<span>(1/6)*s-((1/2)*(s-2)) = 45/2 // - 45/2
(1/6)*s-((1/2)*(s-2))-(45/2) = 0
(-1/2)*(s-2)+(1/6)*s-45/2 = 0
s/6-1/2*(s-2)-45/2 = 0
(-1/2*2*6*(s-2))/(2*6)+(2*s)/(2*6)+(-45*6)/(2*6) = 0
2*s-1/2*2*6*(s-2)-45*6 = 0
12-4*s-270 = 0
-4*s-258 = 0
(-4*s-258)/(2*6) = 0
(-4*s-258)/(2*6) = 0 // * 2*6
-4*s-258 = 0
-4*s-258 = 0 // + 258
-4*s = 258 // : -4
s = 258/(-4)
s = -129/2
s = -129/2</span>