The first term of a geometric sequence is 2, and the common ratio is 3.



What is the 12th term of the sequence?

1 answer

To find the 12th term of a geometric sequence, we can use the formula:

\[a_n = a_1 \cdot r^{(n-1)}\]

Given that the first term, \(a_1\), is 2 and the common ratio, \(r\), is 3, we can substitute these values into the formula to find the 12th term:

\[a_{12} = 2 \cdot 3^{(12-1)}\]

Simplifying:

\[a_{12} = 2 \cdot 3^{11}\]

Calculating:

\[a_{12} = 2 \cdot 177147\]

\[a_{12} = 354294\]

Therefore, the 12th term of the sequence is 354294.