Explanation And Solution For "3 9 27 81 What's Next"

📈Identify the recursive formula for the sequence 3, 9, 27, 81 from brainly.com

Introduction

If you are here, you are probably wondering what comes next in the sequence 3, 9, 27, 81. This is a common question that many people encounter in various forms of tests, puzzles, and games. In this article, we will explore the sequence and provide you with an explanation and solution to the problem.

The Sequence

The sequence 3, 9, 27, 81 is a geometric sequence. In a geometric sequence, each term is obtained by multiplying the previous term by a constant value. In this case, the constant value is 3, which means that each term is three times the previous term.

Term 1: 3

The first term in the sequence is 3.

Term 2: 9

To get the second term in the sequence, we multiply the first term by the constant value of 3. Therefore, the second term is 3 x 3 = 9.

Term 3: 27

To get the third term in the sequence, we multiply the second term by the constant value of 3. Therefore, the third term is 9 x 3 = 27.

Term 4: 81

To get the fourth term in the sequence, we multiply the third term by the constant value of 3. Therefore, the fourth term is 27 x 3 = 81.

The Solution

Now that we understand the sequence, we can use it to find the next term. To do this, we simply need to multiply the fourth term by the constant value of 3.

Term 5:

Therefore, the fifth term in the sequence is 81 x 3 = 243. Therefore, the next number in the sequence is 243.

Conclusion

In conclusion, the sequence 3, 9, 27, 81 is a geometric sequence where each term is obtained by multiplying the previous term by a constant value of 3. To find the next term in the sequence, we simply need to multiply the previous term by 3. Therefore, the next number in the sequence is 243. We hope this explanation and solution will help you understand and solve similar problems in the future.