CBSE Class 10 Answered
If the sum of first m terms of an A.P. is n and the sum of first n terms is m, then show that the sum of its first (m + n) terms is - (m + n).
Asked by d7016880266 | 20 Jan, 2023, 08:14: PM
Expert Answer
Let a be the first term and d be the common difference in A.P.
Sum of first m terms of A.P. :- ( given )
Sum of first n terms of A.P. :- ( given )
Above expressions can be written as
..............................(1)
.................... ..........(2)
Subtracting eqn.(2) from eqn.(1) , we get
Dividing above expression by (m-n) , we get
Let us multiply above expression by ' (m+n)/2 ' and rewrite after simplification as
LHS of above expression is sum of first (m+n) terms of given A.P. ( Q.E.D)
Answered by Thiyagarajan K | 21 Jan, 2023, 08:32: AM
Application Videos
Concept Videos
CBSE 10 - Maths
Asked by deepikaselvam2009 | 20 Feb, 2024, 08:57: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by keshavsinghalhapur | 16 Jan, 2024, 08:46: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by keshavsinghalhapur | 15 Jan, 2024, 10:56: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by skandachiranjeevin | 06 Dec, 2023, 07:08: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by prassanna.j | 13 Nov, 2023, 11:24: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by latayadav23 | 17 Oct, 2023, 08:39: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by ananya_monica | 28 Sep, 2023, 07:07: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by simmysingh1aug | 20 Sep, 2023, 10:20: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by bkhaiwangkonyak | 07 Mar, 2023, 04:35: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by sakshinde95 | 23 Jan, 2023, 05:50: PM
ANSWERED BY EXPERT