Question

the common difference of the AP . can be​

Answer 1

Step-by-step explanation:

Sum to n terms in AP = a+(n-1)d, where n is the first number of the series, n the ordinality of the number and d is the common difference. ... The common difference in an arithmetic progression can be zero.

Answer 2

Step-by-step explanation:

Common difference of AP = second term - first term.

To understand it better we will take some examples.

___________________________

1)1, 3, 5, 7, 9, ...

Here a= First term = 1

Common difference(d) = second term - first term.

Common difference(d) = 3 - 1 = 2

Common difference(d) = 2

___________________________

2) -7, -3, 1, 5, 9, ...

Here a= First term = -7

Common difference(d) = second term - first term.

Common difference(d) = -7 - (-3) = 4

Common difference(d) = 4

___________________________

3) 1/3, 1/3, 1/3, 1/3, ...

Here a= First term = 1/3

Common difference(d) = second term - first term.

Common difference(d) = 1/3 - 1/3 = 0

Common difference(d) = 0

_____________________