Math, asked by ajayajanya2005, 8 months ago

if p+qth term of an Ap is m and p-qth term is n then pth term is​

Answers

Answered by itsbiswaa
2

Answer:

Let the first term of G.P be 'a' and common ration be 'r'

given T  

p+q

​  

=ar  

p+q−1

=m

T  

p−q

​  

=ar  

p−q−1

=n

then multiplying the above two equations :

mn=a  

2

r  

2p−2

=(ar  

p−1

)  

2

 

⇒ar  

p−1

=  

mn

​  

 

but ar  

p−1

 is the P  

th

​  

 term of the G.P

hence T  

p

​  

=  

mn

Step-by-step explanation:

Answered by utkarsh3981
1

Answer:

Let the first term of G.P be 'a' and common ration be 'r'

given T  

p+q

​  

=ar  

p+q−1

=m

T  

p−q

​  

=ar  

p−q−1

=n

then multiplying the above two equations :

mn=a  

2

r  

2p−2

=(ar  

p−1

)  

2

 

⇒ar  

p−1

=  

mn

​  

 

but ar  

p−1

is the P  

th

​  

term of the G.P

hence T  

p

​  

=  

mn

Step-by-step explanation:

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