Answer:
The given sequence [tex]49,36,25,16,8,4,1[/tex] is neither a arithmetic nor a geometric sequence
Step-by-step 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 [tex]49,36,25,16,8,4,1[/tex]
Here,
[tex]36-49=-13\\25-36=-11\\36-49\neq 25-36[/tex]
So, this sequence is not an arithmetic sequence.
Also,
[tex]\frac{36}{49}\neq \frac{25}{36}[/tex]
So, this sequence is not a geometric sequence.
Therefore,
The given sequence [tex]49,36,25,16,8,4,1[/tex] is neither a arithmetic nor a geometric sequence
