Question

2, 6, 10, 15, ...

O Arithmetic
O Geometric
O Neither


Answer 1

Given:

The sequence is:

2, 6, 10, 15,...

To find:

Whether the given sequence is Arithmetic, Geometric, Neither.

Solution:

We have,

2, 6, 10, 15,...

Different between consecutive terms are:

`6-2=4`

`10-6=4`

`15-10=5`

Since
`4\\eq 5`, therefore the given sequence has no common difference. It means it is not an arithmetic sequence.

Ratio of consecutive terms are:

`(6)/(2)=3`

`(10)/(6)=(5)/(3)`

Since
`3\\eq (5)/(3)`, therefore the given sequence has no common ratio. It means it is not a geometric sequence.

Since the given sequence is neither arithmetic nor geometric, therefore the correct option is C.