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sougata chatterjee Grade:
        

1, if in an a.p ,mtm=ntn  then show that tm+n=0


2. if the pth term of an a.p is q and the qth term is p , then find its (p+q) th term.


3. prove that for all finite values of a and b


(a-b)², (a+b)²,a²+b² are in a.p.


4. in the arithmatic  sequence 3,7,11, 15............ and 2,5,8..........each continued to 100 terms ,find how many terms are identical.


 

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear sougata


Ist question is not clear


2nd question:




let first term is =a  and common difference =d


p =a+(q-1)d  ............1


q =a+(p-1)d  ..............2




1-2


p-q = (q-p)d


d =-1


put value of d in equation 1


a =p+q -1




now p+q th term  = a+ ( p+q -1)d


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


                        =0




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Badiuddin

7 years ago
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