Question

In an A.P, if mam = nan , then am + n =
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Answer 1

Answer:

0

Step-by-step explanation:

m (am) = n (an)

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

a ( m-n ) = d [ n(n-1) - m(m-1) ]

a ( m-n ) = d [ ( m-n ) ( 1 - n + m ) ]

a = d ( 1 - n + m ) ,...........(1)

now....

am + n = a + (m+n-1) d

= d ( 1 - n + m ) + (m+n-1) d. [ from (1) ]

= d ( ( 1 - n + m + m + n - 1 )

= d ( 0 )

hence....

am + n = 0

= 0

Answer 2

Step-by-step explanation:

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