Question

Find the 14th term of the geometric sequence 2,6,18, ...

Answer 1

Answer:

Step-by-step explanation:

The answer to this question link is here

https://socratic.org/answers/623991

Answer 2

The geometric sequence is starting with 2 and multiplying by 3 every time. We can get the rule of this sequence by...

• If 2 is $a_{1}$, 6 is $a_{2}$, 18 is $a_{3}$, etc...
• then, $a_{n}$=2(3)^(n - 1)

For the 14th term, plus in 14 for n, and it will look like this:

= 2(3)^(14 -1)

= 2(3)^(13)

= 3188646