Chapter 1.1, Problem 29PPSE

Solution

To Identify: The given pattern and calculate the next three numbers in the pattern.

The next three numbers in the pattern are $243,729$ and $2187$ .

Given information:

The pattern is: $1,3,9,27,81,\dots$

Calculation:

Given the pattern is, $1,3,9,27,81,\dots$

It can be seen from the pattern that the next number is $3$ times the previous number.

So, next three numbers are as follows:

  $\begin{array}{c}81\times 3=243\\ 243\times 3=729\\ 729\times 3=2187\end{array}$

Thus, next three numbers in the pattern are $243,729$ and $2187$ .