Question

Which of the following form of an AP? Justify your answer.
–1, –1, –1, –1, ….
0, 2, 0, 2, …​

Answer 1

-1,-1,-1,-1.....

THIS IS ACTUALLY AN AP

BECAUSE IT IS PROGRESSING WITH A COMMON DIFFERENCE OF 0.

Answer 2

1-

We have a1= -1 ,a2=-1, a3=-1, and a4=-1

a2-a1=0

a3 - a2 = 0

a4 - a3 = 0

Clearly, the difference of successive terms is same, therefore given list of numbers from an AP.

2-

We have a1 = 0, a2 = 2, a3 = 0 and a4 = 2

a2 - a1 = 2

a3 - a2 = - 2

a4 - a3 = 2

Clearly, the difference of successive terms is not same, therefore given list of numbers does not form an AP.

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