Question

Sequence: 49, 36, 25, 16, 8, 4, 1 * Is this a arithmetic or geometric sequence? and if it is arithmetic find the common difference and if it is geometric find the common ratio? and please do not give me a stupid answer only smart people answer this if you know the answer to this you are smart. 1

Answer 1

The given sequence
`49,36,25,16,8,4,1` is neither a arithmetic nor a geometric sequence

Explanation:

A sequence is said to be an arithmetic sequence if difference between the terms is same.

A sequence is said to be a geometric sequence if ratio of the terms is same.

Given sequence is
`49,36,25,16,8,4,1`

Here,

`36-49=-13\\25-36=-11\\36-49\\eq 25-36`

So, this sequence is not an arithmetic sequence.

Also,

`(36)/(49)\\eq (25)/(36)`

So, this sequence is not a geometric sequence.

Therefore,

The given sequence
`49,36,25,16,8,4,1` is neither a arithmetic nor a geometric sequence