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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, 03:14: PM
answered-by-expert 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, 03:58: PM

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