Let first term of given A.P. be a and common
difference be d.
\ am = a + (m – 1)d = 1
n ...(i) ½
and an = a + (n – 1)d = 1
m ...(ii) ½
On subtracting (ii) from (i) we get
(m – n)d = 1 1
n m
m n
mn − = − 1
or, d = 1
mn
and a = 1
mn
Now Smn = mn
mn mn 2 mn 2 1 1 1 · ( + − )
= mn
mn
mn
2 mn mn
2 1
+ −
Smn = mn
2 mn
1
+ 1
= 1
2
[ ] mn + 1
Hence, the sum of first mn terms =
1
What is the question
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Where is the question? In question u have given full solution
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