Answer:
Option 1 is a geometric sequence.
I 1/4, 1/4, 1/4, 1/4
II 1/4, 1/5, 1/6
III 1/4, 1, -4, 1/6
IV 1/4, -4, 1/4, -4
For any geometric sequence there should be a common ratio
To find common ratio we divide consecutive terms
lets check option I
I 1/4, 1/4, 1/4, 1/4
When we divide 1/4 by 1/4 we will get 1
Same 1 for other two terms, so common ratio is 1
Hence the first option is a geometric sequence
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Answer: 
Step-by-step explanation:
Given
The ratio of the area of the similar triangles is equal to the square of the side of the corresponding sides
Suppose the corresponding side on figure A is 
On solving
![\Rightarrow \dfrac{16}{49}=[\dfrac{x}{5}]^2\\\\\Rightarrow \dfrac{x}{5}=\sqrt{\dfrac{16}{49}}\\\\\Rightarrow \dfrac{x}{5}=\dfrac{4}{7}\\\\\Rightarrow x=\dfrac{20}{7}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7B16%7D%7B49%7D%3D%5B%5Cdfrac%7Bx%7D%7B5%7D%5D%5E2%5C%5C%5C%5C%5CRightarrow%20%5Cdfrac%7Bx%7D%7B5%7D%3D%5Csqrt%7B%5Cdfrac%7B16%7D%7B49%7D%7D%5C%5C%5C%5C%5CRightarrow%20%5Cdfrac%7Bx%7D%7B5%7D%3D%5Cdfrac%7B4%7D%7B7%7D%5C%5C%5C%5C%5CRightarrow%20x%3D%5Cdfrac%7B20%7D%7B7%7D)
Answer:
3/2
Step-by-step explanation:
slope formula:
where y2= 7
y1=4
x2=9
x1=7
so

3/2
Hope this helps!
Answer:
28
Step-by-step explanation: