For the given geometric progression, the nth term of the given GP is
.
Option (C) is correct.
What is the Geometric Progression?
Geometric Progression (GP) is a type of sequence in mathematics in which each succeeding term is produced by multiplying each preceding term by a fixed number known as a common ratio. This progression is also known as a pattern-following geometric sequence of numbers.
The given sequence is 2, 6, 18, 54
here the first term(a) = 2 and the common ratio(r) = 6/2 =3
Then by using the formula for the nth term of a GP, we get

Hence the nth term of the given GP is
.
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No the answer is 9 because 54 divided by 9 is 9
B is the right answer to this question
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Answer:
(-8)(1) = -8
Step-by-step explanation:
The multiplicative identity element is 1. Multiplying by 1 does not change the value. This is illustrated by ...
(-8)(1) = -8
<u>Given</u>:
Given that the bases of the trapezoid are 21 and 27.
The midsegment of the trapezoid is 5x - 1.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trapezoid midsegment theorem.
Applying the theorem, we have;

where b₁ and b₂ are the bases of the trapezoid.
Substituting Midsegment = 5x - 1, b₁ = 21 and b₂ = 27, we get;

Multiplying both sides of the equation by 2, we have;

Simplifying, we have;

Adding both sides of the equation by 2, we get;

Dividing both sides of the equation by 10, we have;

Thus, the value of x is 5.