Math miscellaneousHard
Question
Let Tr be the rth term of an A.P. whose first term is a and common difference is d. If for some positive integers m, n, m ≠ n, Tm = 
and Tn = 
, then a - d equals
and Tn = , then a - d equalsOptions
A.0
B.1
C.
D.
Solution
Tm = 
= a + (m - 1)d .....(1)
and Tn =
= a + (n - 1)d .....(2)
from (1) and (2) we get a =
, d =
Hence a - d = 0
= a + (m - 1)d .....(1)and Tn =
= a + (n - 1)d .....(2) from (1) and (2) we get a =
, d = Hence a - d = 0
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