Question
If the mth term of a H.P. be n and nth be m, then the rth term will be
Answer: Option C
:
C
Given Tm = n, Tn = m for H.P. therefore for the corresponding A.P. mth term = 1n, nth term = 1m
Let a and d be the first term and common difference of this A.P., then
a+(m−1)d = 1n ......(i)
a+(n−1)d = 1m ......(i)
Solving these, we get a = 1mn, d = 1mn
Now, rth term of corresponding A.P.
= a+(r−1)d = 1mn+(r−1)1mn = 1+r−1mn = rmn
Therefore rth term of corresponding H.P. is mnr
Note : Students should remember this question as a fact.
Was this answer helpful ?
:
C
Given Tm = n, Tn = m for H.P. therefore for the corresponding A.P. mth term = 1n, nth term = 1m
Let a and d be the first term and common difference of this A.P., then
a+(m−1)d = 1n ......(i)
a+(n−1)d = 1m ......(i)
Solving these, we get a = 1mn, d = 1mn
Now, rth term of corresponding A.P.
= a+(r−1)d = 1mn+(r−1)1mn = 1+r−1mn = rmn
Therefore rth term of corresponding H.P. is mnr
Note : Students should remember this question as a fact.
Was this answer helpful ?
More Questions on This Topic :
Question 1. If π∑i=1i =
n(n+1)2, then π∑i=1(3i−2) = ....
Question 10. If x, y, z are in G.P. and ax = by = cz, then....
Latest Videos
Latest Test Papers
Submit Solution