Question

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

Explanation:

Step1: Identify the pattern

Observe the sequence: \(1, 3, 9, 27, 81\). Notice that each term is multiplied by \(3\) to get the next term. For example, \(1\times3 = 3\), \(3\times3 = 9\), \(9\times3 = 27\), \(27\times3 = 81\).

Step2: Find the first missing term

To find the sixth term, multiply the fifth term (\(81\)) by \(3\). So, \(81\times3 = 243\).

Step3: Find the second missing term

To find the seventh term, multiply the sixth term (\(243\)) by \(3\). So, \(243\times3 = 729\).

Answer:

The next two terms are \(243\) and \(729\).