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Brrunno [24]
3 years ago
5

If x,y and z are the first three terms of an geometric sequence, show that x^2,y^2 and z^2 form another geometric sequence

Mathematics
1 answer:
olganol [36]3 years ago
8 0
<span>x y z are in geometric 
x/y = y/z 
OR y^2=xz 

x^2, y^2, z^2 

x^2, xz, z^2 
If they are in geometric sequence then 
xz/x^2 = z^2/xz 
z/x = z/x 
The ratios are common 
so x^2,y^2 & z^2 is a GP.</span>
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Read 2 more answers
Suppose a lab need to need to make 400 liters of 39% acid solution, but the only solutions available to the lab are 20% acid and
Maslowich

Answer:

c + d = 400

0.2c + 0.5d = 156

Step-by-step explanation:

Let

c = number of liters of 20% acid solution

d = number of liters of 50% acid solution.

c + d = 400 (1)

0.2c + 0.5d = 400(0.39)

0.2c + 0.5d = 156 (2)

From (1)

c = 400 - d

Substitute c = 400 - d into (2)

0.2c + 0.5d = 156 (2)

0.2(400 - d) + 0.5d = 156

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