SOLUTION: the nth term in an arithmetic sequence is represented by tn. If tp=p squared and tq=q squared find the common difference.

Question 54684: the nth term in an arithmetic sequence is represented by tn. If tp=p squared and tq=q squared find the common difference.
Answer by psbhowmick(878) (Show Source): You can put this solution on YOUR website!
Let the first term of the A.P. series be 'a' and the common difference be 'd'.
Then, the p-th term is and q-th term is .
Given that and .
So, --------(1)
and --------{2)
Subtracting (2) from (1),

or
or [since p is not equal to q]
So the reqd. common difference is (p+q).
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