Question

The common difference of an arithmetic sequence is always a positive number

Answer 1

Answer:

no

Step-by-step explanation:

ex.

4,2,0,-2.....

here cd is -2 which is negative

Answer 2

Answer:

False, the common difference of an arithmetic sequence can be positive or negative.

Step-by-step explanation:

In an A.P. the difference of consecutive terms is constant.

Common difference = $A_{n}- A_{n-1}$

The common difference of an arithmetic sequence can be positive or negative.

For e.g.

Let us take the A.P. 10,8,6,4,2,....

Here, $A_{2} - A_{1}$ = 8 - 10 = -2. which is negative.

So, it is clear that common difference an arithmetic sequence is not always a positive number.

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