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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Use the substitution method
w(x)=9x+8
w(5)=9(5)+8
Do the parenthesis first then add because of using PEMDAS
P= Parentheses
E= Exponents
M= Multiplication
D= Division
A= Addition
S= Subtraction
45+8
=53
Answer: w(5)=53
Answer:
The rearrangement of the terms is 
.
Step-by-step explanation:
The given expression is
Two terms are called like terms if they have same variables having same degree.
In the given expression 3 and -4, -6x and 3x, 4x² and -6x² are like terms.
Arrange the given terms according to their degree and arrange in this way so like terms are next to each other.
Therefore the rearrangement of the terms is .
Answer:
10 miles is the correct answer
