Question

Determine whether 2,2,2,2........... is an A.P. or not?​

Answer 1

Answer:

yes it is a ap

Step-by-step explanation:

because the common difference if same that is 0

Answer 2

Yes 2 , 2 , 2 , 2 , . . . . are in AP

Given :

The progression 2 , 2 , 2 , 2 , . . . .

To find :

Determine 2 , 2 , 2 , 2 , . . . . is an AP or not

Concept :

A sequence of numbers are said to form an Arithmetic progression if the difference between any two consecutive terms is always the same.

Solution :

Step 1 of 2 :

Write down the given progression

Here the given progression is 2 , 2 , 2 , 2 , . . . .

Step 2 of 2 :

Determine 2 , 2 , 2 , 2 , . . . . is an AP or not

First term = a₁ = 2

Second term = a₂ = 2

Third term = a₃ = 2

.

.

Now

a₂ - a₁ = 2 - 2 = 0

a₃ - a₂ = 2 - 2 = 0

So on

Thus we get , a₂ - a₁ = a₃ - a₂

Since the difference between any two consecutive terms is same , which is 0

So the given progression is an arithmetic progression.

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