Question

Determine whether the sequence is arithmetic, geometric, both, neither. 16,8,4,2,... is what

Answer 1

an arythmetic sequence involves addition and subtraction exg
2,4,6,8,10 ( +2)
10,8,6,4,2 (-2)

a geometric sequence involves multiplication or division exg
2,4,8,16 ( times 2)
16,8,4,2 (divide 2)


it is a geometric sequence because it involves multiplication

Answer 2

Answer: It is a geometric series.

Explanation:

Since we have given that

`16,8,4,2,...`

Here,

a = first term = 16

r = common ratio is given by

`(a_2)/(a_1)=(8)/(16)=(1)/(2)=(4)/(8)`

So, it becomes geometric progression, as it has common ratio rather than common difference.

Hence, it is a geometric series.