2 Answers

Paul Butcher · Answer 1 · 2022-04-27T08:53:41+0000

Given:

The sequence is:

12, 6, 3, ...

To find:

The formula for the nth term of the given sequence.

Solution:

We have,

12, 6, 3, ...

Here, first term is 12.

Clearly,
(6)/(12)=(3)/(6) . Since the given sequence has a common ratio
$r=dfrac{1}{2}$ , therefore it is a geometric sequence.

The formula for the nth term of the given sequence is:

a_n=ar^(n-1)

Where, a is the first term and r is the common ratio.

$a_n=12\left((1)/(2)\right)^(n-1)$

Therefore, the formula for the nth term of the given sequence is
$a_n=12\left((1)/(2)\right)^(n-1)$ .

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