Answer:
x = 0.5
Step-by-step explanation:
hope this helps!
volume of prism =area of Base ×height
Given that
![a_1=24](https://tex.z-dn.net/?f=a_1%3D24)
and
![a_2=17](https://tex.z-dn.net/?f=a_2%3D17)
, if
![a_n](https://tex.z-dn.net/?f=a_n)
is an arithmetic sequence, then the common difference between successive terms is
![d=a_2-a_1=17-24=-7](https://tex.z-dn.net/?f=d%3Da_2-a_1%3D17-24%3D-7)
.
You then have
![a_2=a_1+d](https://tex.z-dn.net/?f=a_2%3Da_1%2Bd)
![\implies a_3=a_2+d=a_1+2d](https://tex.z-dn.net/?f=%5Cimplies%20a_3%3Da_2%2Bd%3Da_1%2B2d)
![\implies a_4=a_3+d=a_1+3d](https://tex.z-dn.net/?f=%5Cimplies%20a_4%3Da_3%2Bd%3Da_1%2B3d)
![\implies \cdots\implies a_n=a_{n-1}+d=\cdots=a_1+(n-1)d](https://tex.z-dn.net/?f=%5Cimplies%20%5Ccdots%5Cimplies%20a_n%3Da_%7Bn-1%7D%2Bd%3D%5Ccdots%3Da_1%2B%28n-1%29d)
So the explicit formula for the
![n](https://tex.z-dn.net/?f=n)
th term is
I think it's the second one on the top, because the dotted one is actually inside the bigger one and you can get a clear representation of the sizes.
Answer:
42/90
Step-by-step explanation:
<u> </u>
Let x = .46
multiply both sides by 10
<u> </u>
10x = 4.66
multiply both sides by 10 again
<u> </u>
100x = 46.66
<u> </u> <u> </u>
100x - 10x = 46.66 - 4.66
90x = 42
x = 42 / 90
Can be reduced to x = 21/45