Home
Class 12
MATHS
Let Tr be the r^(th) term of an A.P whos...

Let `T_r` be the `r^(th)` term of an A.P whose first term is `a` and common difference is `d` IF for some integer m,n, `T_m=1/n` and `T_n=1/m` then `a-d=`

A

0

B

1

C

`1/(mn)`

D

`1/m+1/n`

Text Solution

Verified by Experts

The correct Answer is:
a
Since , `T_(m) = 1/n =a+(m-1)d " "` …(i)
` T_(m) =1/m = a+ (n-1)d " "`…(ii)
On solving Eqs. (i) and (ii) , we get
` a= 1/(mn) "and" d = 1/(mn)`
` :. A-d = 1/(mn) - 1/(mn) =0`
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise EXERCISE 2|1 Videos

  • SEQUENCES AND SERIES

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise EXERCISE 3|1 Videos

  • PROBABILITY

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|4 Videos

  • SETS, RELATIONS AND FUNCTIONS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Exercise 2 (MISCELLANEOUS PROBLEMS)|30 Videos

Similar Questions

Explore conceptually related problems

Find the n^(th) term of an A.P. Whose first term is 200 and common difference is 7 .

Sum of first n terms of an A.P. whose last term is l and common difference is d, is

The nth term of an A.P. whose first term is 'a' and common difference d' is a + (n - 1) d . Prove by PMI.

Find the first four terms of an A.P. whose first term is -3 and common difference -4 , and also find t_(n) .

If the first term of an A.P. is a and n t h term is b , then its common difference is

Let T_(r) be the rth term of an A.P.whose first term is -1/2 and common difference is 1, then sum_(n)^(n)sqrt(1+T_(r)T_(r+1)T_(r+2)T_(r+3))

Write the n t h term of an A.P. the sum of whose n terms is S_n .

If m^(th) n^(th) and o^(th) term of an A.P. are n, o and m. Find common difference d.

If m^(th) n^(th) and o^(th) term of an A.P.are n ,o and m .Find common difference d.

If (p+1)^(th) , (q+1)^(th) , (r+1)^(th) terms of an A.P. whose first term is a and common difference is d ,are in G.P. where p, q , r are in H.P. but not in G.P. then d/a is equal to