If m times the (m)th term of an A.P. is equal to n times its (n)th term, show that the (m+n)th term

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Question:

If m times the (m)th term of an A.P. is equal to n times its (n)th term, show that the (m+n)th term of the A.P. is zero.

RD SHARMA BOOK QUESTION CLASS 10
Previous Year Question CBSE 2008
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Tomorrow is my cbse maths boards exam and you saved my marks tanj you ... Sir

jayita_saha
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It's a lengthy sol. WE CAN WRITE THE an=a+(n-1)d AND am=a+(m-1)d, AND SUBTRACT IT. a WILL BE ELIMINATED. AFTER A LITTLE BIT OF SOLVING WE GET d=0. JUST PUT d=0 IN BOTH THE EQN AND YOU WILL GET TWO MORE EQN--- a-m=0 AND a-n=0. SUBTRACT THE EQN TO GET n=m. FROM THE PREVIOUS EQN WE KNOW m AND n IS EUAL TO a. SUBSITUTE ALL THE VALUES IN THE EQN a(m+n)= a+(m+n-1)d. PUT n AND m AS a AND THE ANSWER YOU WILL GET IS 0.


HENCE PROVED. (BY A CLASS 11TH STUDENT)

Dibyajit-jv
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Thankyou sir...
You made the question so simple
And also explained it step by step ...
Thanks a lot sir😊😊

anitajain
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Wow!!!! Sir what a good explanation 😄😄😄😄😄

Baljeetkaur.
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Thank you so much sir i was struggling with this question but you helped me... thanks

asthaj
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Sirji bhot long ho gaya but samaj me aa gaya

trailerpropictures
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I am watching this video before 12 minutes of board exam 💀💀💀

SURYA--ux
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Thanks for such a wonderful explanation

ayushsaraf
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Sir jb hmne a jo ki andar bracket mein tha use m se multiply Kiya toh phir d ko kyu nhi kiya

mathsfixes
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thank u sir u really helped me to give my full potential

ONLYAIM-zs
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sir aap sabse acche ho mujhe aap bohot pasand ho. aapka explination hi mujhe sabse accha lagta math by cv sir is the G.O.A.T

hoe
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Love you a lot sir thank you so much sir ✍️🙏🙏🙏🙏

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