Question

If mth term of a hp is n and nth term is m then (m+n)th term is

Answer 1

In the attachments I have answered this problem.

Concept:

The n th term of HP is

T(n) = 1 /[a+(n-1)d]

See the attachment for detailed solution

Answer 2

Answer:

Given that,m

th

term of an H.P. is n and n

th

term is m.

Therefore, m

th

term of an A.P. is

n

1

and n

th

term is

m

1

.

Let, a be the first term and d be the common difference of the A.P

Now, t

m

=a+(m−1)d=

n

1

....(1)

And t

n

=a+(n−1)d=

m

1

....(2)

Subtracting (1) & (2), we get

(m−n)d=

n

1

−

m

1

⇒d=

mn

1

Substituting d in (1), we get

a+

mn

(m−1)

=

n

1

⇒a=

mn

1

Therefore, t

mn

=a+(mn−1)d=

mn

1

+

mn

(mn−1)

=1

and thus mn

th

term of H.P is 1.

Step-by-step explanation:

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