Question

Find the 12th term of the geometric sequence 1, 3, 9, ...

Answer 1

Answer:

177147

Step-by-step explanation:

The n th term of a geometric sequence is

$a_{n}$ = a$r^{n-1}$

where a is the first term and r the common ratio

Here a = 1 and r = 3 ÷ 1 = 3 , thus

$a_{12}$ = 1 × $3^{11}$ = 177147

Answer 2

The 12th term of the geometric sequence ( 1, 3, 9, . . . ) is 177147.

What is the 12th term of the geometric sequence?

The nth term of a geometric sequence is expressed as;

nth = arⁿ⁻¹

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

Given that;

• Sequence = 1, 3, 9, ...
• First term a = 1
• nth term n = 12
• Common ratio r = 9/3 = 3

nth = arⁿ⁻¹

12th = 1 × 3¹²⁻¹

12th = 1 × 3¹¹

12th = 1 × 177147

12th = 177147

Therefore, the 12th term of the geometric sequence ( 1, 3, 9, . . . ) is 177147.

Learn more about geometric series here: brainly.com/question/19458543

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