Answer: A) 1/2
Step-by-step explanation:
In a geometric sequence, the consecutive terms differ by a common ratio. The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
If the third term is 20, it means that
T3 = 20 = ar^(3 - 1)
20 = ar²- - - - - - - - - - 1
If the third term is 20, it means that
T5 = 5 = ar^(5 - 1)
5 = ar⁴- - - - - - - - - - 2
Dividing equation 2 by equation 1, it becomes
5/20 = r⁴/r²
1/4 = r^(4 - 2)
(1/2)² = r²
r = 1/2
Answer:
They purchased 11 Packets
Step-by-step explanation:
C=11p + 30
Answer:
x = 4
Explanation:
Given the expression;
![\sqrt[]{x}-4\text{ = -2}](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7Bx%7D-4%5Ctext%7B%20%3D%20-2%7D)
Add 4 to both sides
![\begin{gathered} \sqrt[]{x}-4+4\text{ = -2+4} \\ \sqrt[]{x}=\text{ 2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Csqrt%5B%5D%7Bx%7D-4%2B4%5Ctext%7B%20%3D%20-2%2B4%7D%20%5C%5C%20%5Csqrt%5B%5D%7Bx%7D%3D%5Ctext%7B%202%7D%20%5Cend%7Bgathered%7D)
Square both sides
![\begin{gathered} (\sqrt[]{x})^2=2^2 \\ x\text{ = 4} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%28%5Csqrt%5B%5D%7Bx%7D%29%5E2%3D2%5E2%20%5C%5C%20x%5Ctext%7B%20%3D%204%7D%20%5Cend%7Bgathered%7D)
Hence the value of x is 4
Answer:
x=60
Step-by-step explanation:
Hope this helped.
