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`1/15+1/35+1/63+1/99+1/143`का मान है।A. `5/39`B. `4/39`C. `2/39`D. `739`

Answer» Correct Answer - A
`1/15+1/35+1/63+1/99+1/143`
`=1/(3xx5)+1/(5xx7)+1/(7xx9)+1/(9xx11)+1/(11xx13)`
`=1/2[1/3-1/5+1/5-1/7+1/7-1/9+1/9-1/11+1/11-1/13]`
`=1/2[1/3-1/13]=1/2xx10/39=5/39`


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