Determine whether the sequence is arithmetic, geometric or neither. And identify the growth pattern

racodelitusmn

racodelitusmn

Answered question

2022-07-10

Determine whether the sequence is arithmetic, geometric or neither. And identify the growth pattern for arithmetic and geometric sequences.
a) 64 , 32 , 16 , 8 , 4 ,
b) 18 , 9 , 0 , 9 , 18 ,
c) 0 , 1 , 1 , 2 , 3 ,

Answer & Explanation

Kiley Hunter

Kiley Hunter

Beginner2022-07-11Added 7 answers

a) 64 , 32 , 16 , 8 , 4 ,
γ = 32 64 = 1 2
γ 2 = 16 32 = 1 2
Thus, the sequence is geometric
Every next term is half of previous term ( r = 1 2 )

b) 18 , 9 , 0 , 9 , 18 ,
d = a 2 a 1
d = 9 18 = 9
a 3 a 2 = 0 9 = 9
Thus, the sequence is arithmetic
Every next term is 9 less that previous term (-9)

c) 0 , 1 , 1 , 2 , 3 ,
This sequence is neither arithmetic nor geometric.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?