Question

Find the next two terms: 1, 11, 111, 1111....

Answer 1

We have the sequence:

`1,11,111,1111....​`

Each step add a digit 1, so we can conclude that the following terms are 11,111 and 111,111.

We have to find the common ratio of the sequence. We can divide each term by its previous term and see if there is a common ratio:

`\begin{gathered} (11)/(1)=11 \\ (111)/(11)=10.09\ldots \\ (1111)/(111)=10.009\ldots \end{gathered}`

There is no common ratio in this sequence.

Also, there is no common difference as there difference between terms is not constant.