Question

find the next two terms in this sequence.
1,3,9,27,81,243, ?

Explanation:

Step1: Identify the pattern

Looking at the sequence \(1, 3, 9, 27, 81, 243\), we can see that each term is obtained by multiplying the previous term by \(3\). For example, \(1\times3 = 3\), \(3\times3=9\), \(9\times3 = 27\) and so on.

Step2: Find the next term (7th term)

To find the 7th term, we multiply the 6th term (\(243\)) by \(3\). So, \(243\times3=729\).

Step3: Find the term after that (8th term)

To find the 8th term, we multiply the 7th term (\(729\)) by \(3\). So, \(729\times3 = 2187\).

Answer:

The next two terms are \(729\) and \(2187\).