Question

What is the sequence of 1234,123.4,12.34,1.234

Answer 1

Given sequence:

1234, 123.4, 12.34, 1.234

Let us check the ratios between the consecutive two terms whether same or not.

`\begin{gathered} r_1=(a_2)/(a_1) \\ =(123.4)/(1234) \\ =(1)/(10) \end{gathered}`
`\begin{gathered} r_2=(a_3)/(a_2) \\ =(12.34)/(123.4) \\ =(1)/(10) \end{gathered}`

Similarly, we get

`r_3=(1)/(10)`

Since, the given sequence is having the common ratio.

Therefore, the given sequence is geometric sequence.