Home
Class 12
MATHS
The 7th term of an H.P. is 1/10 and 12th...

The `7th` term of an `H.P.` is `1/10` and `12th` term is `1/25` Find the `20th` term

A

`1/41`

B

`1/45`

C

`1/49`

D

`1/37`

Text Solution

Verified by Experts

The correct Answer is:
c
The corresponding terms of HP in terms of AP is 10 and 25
` :. T_(7) = a+ 6d=10" " ` …(i)
and `T_(12) = a+11 d =25 " "` …(ii)
` a = -8 , d =3`
` :. T_(20) = -8 +(20 -1)3=49`
Then , 20th term of HP is `1/49`
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

If the 7 th term of HP is (1)/(10) and 12th term is (1)/(25) then the 4th term is

If the 9 th term of an A.P.is 35 and the 19th term is 75. Find the 20 th term

If 7 th term of H.P is (1)/(10) and 12 th term is (1)/(25) then 4 th term is

The 6 th term of an AP is 20 and its 11 th term is 35. Find the 25 th term of the AP.

The 7th term of an A.P.is 32 and its 13th term is 62. Find the A.P.