If mth and nth term od an ap are 1/n and 1/m respectively then find the mn terms
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Answer:
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Answered by
0
Answer:
The value of mn terms = 1.
Step-by-step explanation:
It is given that,
am = 1/n
an = 1/m
Therefore,
a + (m - 1 )d = 1/n = a + dm - d eqn1
a + ( n - 1)d = 1/m = a + dn - d eqn2
Subtracting eqn 1 - eqn2,
dm - dn = 1/n - 1/m
Therefore, d(m - n ) = m - n/mn
therefore, d = 1/mn
Now, substitute the value of d in eqn1, and you get, a = 1/mn
Now, amn = a + ( mn - 1) d
= 1/mn +( mn - 1)/mn
= mn/mn => 1.
Hence 1 is the answer.
HOPE THIS HELPS YOU....
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