CBSE Class 10 Answered
the mth term of an A.P is n n nth term is m, find the rth term of the A.P
Asked by yusrakhan03 | 05 Mar, 2019, 15:14: PM
Expert Answer
Let a is the first term and d is the common difference of given Arithmetic progression
m-th term : a + (m-1)d = n ...................(1)
n-th term : a + (n-1)d = m ...................(2)
By subtracting (2) from (1) and after simplification, we get, d = (n-m)/(m-n) = -1 ................(3)
By substituting d value from (3) in (1), we get , a = m+n-1
hence r-th term : (m+n-1) + (r-1) (-1) = m+n-r
Answered by Thiyagarajan K | 05 Mar, 2019, 15:58: PM
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