Question

8,5,2,-1....is an arithmetic progression then calculate common difference​

Answer 1

Answer:

-3=common difference

a2-a=d

5-8=-3

don't take -3 as positive in this question

Answer 2

The common difference in the arithmetic progression 8 , 5 , 2 , - 1 , . . . . is - 3

Given :

The arithmetic progression 8 , 5 , 2 , - 1 , . . . .

To find :

The common difference in the arithmetic progression

Solution :

Step 1 of 2 :

Write down the given arithmetic progression

The arithmetic progression is 8 , 5 , 2 , - 1 , . . .

Step 2 of 2 :

Find common difference

We know that for a given arithmetic progression Common difference is the difference between two consecutive terms in the arithmetic progression

First term = a₁ = 8

Second term = a₂ = 5

Third term = a₃ = 2

a₂ - a₁ = 5 - 8 = - 3

a₃ - a₂ = 2 - 5 = - 3

The required common difference

= 2nd term - 1st term

= - 3

Hence common difference in the arithmetic progression 8 , 5 , 2 , - 1 , . . . . is - 3

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