Question

what type of sequence is shown: 1,2,4,7,10A) Arithmetic sequenceB) geometric sequence C) neithernote this is not graded its practice

Answer 1

Given Sequence:

`1,2,4,7,10`

If the sequence is arithemetic sequence the difference between to consicutive elements will be same.

`\begin{gathered} d_1=2-1=1 \\ d_2=4-2=2 \end{gathered}`

Since,

`d_1\\e d_2`

The sequence is not a arithmetic sequence.

If the sequence is a geometric sequence the ratio between two succesive elements will be same.

`\begin{gathered} r_1=(2)/(1)=2 \\ r_2=(4)/(2)=2_{} \\ r_3=(7)/(4)=1.75 \end{gathered}`

Since,

`r_2\\e r_3`

The sequence is not a geometric sequence.

Thus, the correct option is option (C) neither. The sequnce is neither arithmetic sequence nor a geometric sequence.