A geometric series is the collection of an unlimited number of terms with a fixed ratio between them. The missing value in the table below is 343. The correct option is A.
<h3>What is geometrical series?</h3>
A geometric series is the collection of an unlimited number of terms with a fixed ratio between them.
The given table if closely observed forms a geometric progression, this is because the value of the dependent variable, y is increasing by a common ratio. The common ratio in the table is,
Common ratio = y₂/y₁ = 1/(1/7) = 7
Now, for any geometric progression, the value of the nth term is given as,
Tₙ = a₁ (r)⁽ⁿ⁻¹⁾
where a₁ is the first term of the geometric progression and r is the common ratio. Therefore, the nth term of the series is,
T = a₁ (r)⁽ⁿ⁻¹⁾
Tₙ = (1/7) (7)⁽ⁿ⁻¹⁾
y = (1/7)(7)⁽ˣ⁻¹⁾
Now, the value of the y when the value of x is 5 is,
y = (1/7)(7)⁽ˣ⁻¹⁾
y = (1/7)(7)⁽⁵⁻¹⁾
y = (1/7)(7)⁴
y = (1/7) × 2401
y = 343
Hence, the missing value in the table below is 343.
Learn more about Geometrical Series here:
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Yes I do believe they are similar.
Answer:
Step-by-step explanation:
hello :
y= 5x + 9
y = -x +3
so : 5x+9 = -x+3
5x+x= 3-9
6x=-6
x=-6/6 = -1
Answer/Step-by-step explanation:
7. Line 1 = undefined.
Slope of a vertical line is always undefined. The run is zero as x-coordinate remains the same.
8. Line 2 = 
9. Line 3 =
10. Line 4 = undefined (slope of a vertical line is always undefined)
11. Line 5 = 
12. Line 6 = 
13. Line 7 = 0
An horizontal line has no rise.
14. Line 8 = 0 (slope of horizontal line is always zero)
15. Line 9 = undefined (slope of a vertical line is always undefined)
16. Line 10 = undefined (slope of a vertical line is always undefined)
17. Line 11 = 0 (slope of horizontal line is always zero)
18. Line 12 = undefined (slope of a vertical line is always undefined)
To find the slope of the line, you need two points.
(-2 , 5) and (3 , -5)
5 - (-5) / -2 - 3
10 / -5 = -2
The slope of the line is -2. So your answer is C.
