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,

$d_1\ne d_2$

The sequence is not a arithmetic sequence.

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

$\begin{gathered} r_1=\frac{2}{1}=2 \\ r_2=\frac{4}{2}=2_{} \\ r_3=\frac{7}{4}=1.75 \end{gathered}$

Since,

$r_2\ne r_3$

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.