SOLUTION: In an arithmetic series, the 'pth' term is q and the 'qth' term is p , find the 'mth' term. Here ismy answer: p+q-m. Am I correct? Please show me the working.

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Question 898992: In an arithmetic series, the 'pth' term is q and the 'qth' term is p , find the 'mth' term.
Here ismy answer: p+q-m.
Am I correct? Please show me the working.
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
'pth' term is q and the 'qth' term is p
 <-- general term

 and 

We solve the system:



Eliminate a1 by subtracting the equations:

(p-1)d-(q-1)d = q-p

d[(p-1)-(q-1)] = q-p

d[p-1-q+1] = q-p

d(p-q) = q-p

d = 

d = 

d = 

d = -1

Substitute d = -1









 <-- general term

Substitute a1 = p+q-1, d = -1, and n = m









Edwin
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