Q. 43.9( 19 Votes )

Two AP’s have the

Answer :

Suppose there are two AP's with first terms a and A


And their common differences are d and D respectively


Suppose n be any term


an = a + (n - 1)d


An = A + (n - 1)D


As common difference is equal for both AP's


We have D = d


Using this we have


An - an = a + (n - - 1)d - [ A + (n - 1)D]


= a + (n - 1)d - A - (n - 1)d


= a - A


As a - A is a constant value


Therefore, difference between any corresponding terms will be equal to a - A.


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