The estimated answer is 13/3 which is less than 4
the answer is 3.8
Answer:
10.5in
Step-by-step explanation:
DC=16in is similar to OP=12in.
So the ratio is 12/16=3/4.
Now AD=14in.
MP=AD×ratio=14×3/4=21/2=10.5in
Answer:
no
Step-by-step explanation:
³⁾2/3 = 6/9 ≠ 1/9
Option B:
The 12th term is 354294.
Solution:
Given data:
and ![a_7=1458](https://tex.z-dn.net/?f=a_7%3D1458)
To find ![a_{12}:](https://tex.z-dn.net/?f=a_%7B12%7D%3A)
The given sequence is a geometric sequence.
The general term of the geometric sequence is
.
If we have 2 terms of a geometric sequence
and
(n > K),
then we can write the general term as
.
Here we have
and
.
So, n = 7 and k = 4 ( 7 > 4)
![a_7=a_4\ .\ r^{7-4}](https://tex.z-dn.net/?f=a_7%3Da_4%5C%20.%5C%20r%5E%7B7-4%7D)
![1458=54\ . \ r^3](https://tex.z-dn.net/?f=1458%3D54%5C%20.%20%5C%20%20r%5E3)
This can be written as
![$r^3=\frac{1458}{54}](https://tex.z-dn.net/?f=%24r%5E3%3D%5Cfrac%7B1458%7D%7B54%7D)
![$r^3=27](https://tex.z-dn.net/?f=%24r%5E3%3D27)
![$r^3=3^3](https://tex.z-dn.net/?f=%24r%5E3%3D3%5E3)
Taking cube root on both sides of the equation, we get
r = 3
![a_{12}=a_7\ .\ r^{12-7}](https://tex.z-dn.net/?f=a_%7B12%7D%3Da_7%5C%20.%5C%20r%5E%7B12-7%7D)
![=1458\ .\ r^5](https://tex.z-dn.net/?f=%3D1458%5C%20.%5C%20r%5E5)
![=1458\ .\ 3^5](https://tex.z-dn.net/?f=%3D1458%5C%20.%5C%203%5E5)
![a_{12}=354294](https://tex.z-dn.net/?f=a_%7B12%7D%3D354294)
Hence the 12th term of the geometric sequence is 354294.