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pankaj gupta Grade: 12
        

 1.IF Pth term of an A.P is q and qth tem of an AP is p then prove that (p+q) term is 0

6 years ago

Answers : (2)

vikas askiitian expert
510 Points
										

let a & d are the first term & common differnece respectively then


pth term = a+(p-1)d = q                       ...............1


qth term = a+(q-1)d = p                     ...............2


1-2


 q-p = (p-q)d


d=-1


now 


    (p+q)th term = a + (p+q-1)d


putting value of a from eq 1


         (p+q)th term = q - (p-1)d + (p+q-1)d                  (d =-1)


                            =0                            

6 years ago
Fawz Naim
37 Points
										

The pth term of an AP is = a+(p-1)d


where a is the first term of the AP and  d is the common difference


as pth term is equal to q therefore q=a+(p-1)d .....1


similarly qth term is equal to p


p=a+(q-1)d .......2


solve the two equations to get the value of a and d. It will come


a=p+q-1


d=-1


now (p+q)th term is =a+(p+q-1)d


put the values of a and d


=(p+q-1)+(p+q-1)(-1)


=(p+q-1)-(p+q-1)


=0


 

6 years ago
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