Question

find the common difference for an A.P 1,-3,-7,-11......​

Answer 1

Answer:

commom difference = -4

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Answer 2

The common difference for the AP 1 , - 3 , - 7 , - 11 , . . . . is - 4

Given :

The arithmetic progression 1 , - 3 , - 7 , - 11 , . . . .

To find :

The common difference in the arithmetic progression

Solution :

Step 1 of 2 :

Write down the given arithmetic progression

The arithmetic progression is 1 , - 3 , - 7 , - 11 , . . . .

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 = 1

Second term = a₂ = - 3

Third term = a₃ = - 7

a₂ - a₁ = - 3 - 1 = - 4

a₃ - a₂ = - 7 + 3 = - 4

The required common difference

= 2nd term - 1st term

= - 4

Hence common difference in the arithmetic progression 1 , - 3 , - 7 , - 11 , . . . . is - 4

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