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.

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

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