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`        in an ap if Sm=n and Sn=m then find sum of first (m-n) terms`
2 years ago

## Answers : (1)

Arun
23343 Points
```							Dear Student I think ur question is a bit incorrect....sum of m+n term proveFirst term = a , common difference = dSm = n→m/2(2a  + (m-1)d) = n  …….(1)Sn = m→n/2(2a  + (n-1)d) = m   ……..(2)Eq. (2) – (1)2a(n-m) + d(n2-n-m2+m)=2m-nn-m{2a + d(n+m-1)}=-2(n-m) …….(3)2a + d(n+m-1) = -2Now, Sm+n = m+n/2{2a+(m+n-1)d}=-(m+n)        (using eq. 3) RegardsArun (askIITians forum expert)
```
2 years ago
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• Mind Map
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• NCERT Solutions
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