Question

if An= 5-11n , then find the common difference.........

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Answer 1

this is the required answer

Answer 2

For some number n,
An=5-11n

So, for number n+1 which is consequent term in the AP,
A(n+1)=5-11(n+1)= 5-11n-11 = -6-11n
A(n+1)-A(n)= d, which is the common difference.
So, d=-6-11n-(5-11n) =-11.
So, common difference is -11.