Following triangles are similar
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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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