Identify the following series as arithmetic, geometric, both, or neither

Given:

The series is

To find:

Whether the given series is arithmetic, geometric, both, or neither.

Solution:

We have,

Difference between consecutive terms are:

And,

Here, .

So, the given series is not an arithmetic series.

Ratio between consecutive terms are:

And,

Similarly upto last pair of consecutive terms.

Since, , so the given series have a common ratio.

Therefore, it is a geometric series.

mk./km: lm

step-by-step explanation:

,mlmlm

; mk

lk

20%

step-by-step explanation: