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.
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
1 answer