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1 year ago

Which formula decribe the following geometric equence? Remember that n repreent the term number. 2, 6, 18, 54,. An = 3 · 2 n - 1

Mathematics

1 answer:

Goryan [66]1 year ago

4 0

For the given geometric progression, the nth term of the given GP is $A_n=2.3^{n-1}$ .

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

$A_n=ar^{n-1}\\\\A_n=2.3^{n-1}$

Hence the nth term of the given GP is $A_n=2.3^{n-1}$ .

To learn more about Geometric progression, visit:

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EXPLANATION

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