Home
Class 12
MATHS
If H1.,H2,…,H20 are 20 harmonic means be...

If `H_1.,H_2,…,H_20` are 20 harmonic means between 2 and 3, then `(H_1+2)/(H_1-2)+(H_20+3)/(H_20-3)=`

A

n

B

`n+1`

C

2n

D

`2n-2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    ARIHANT MATHS|Exercise Exercise For Session 6|10 Videos

  • SEQUENCES AND SERIES

    ARIHANT MATHS|Exercise Exercise For Session 7|7 Videos

  • SEQUENCES AND SERIES

    ARIHANT MATHS|Exercise Exercise For Session 4|10 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

Let alpha and beta be two positive real numbers. Suppose A_1, A_2 are two arithmetic means; G_1 ,G_2 are tow geometrie means and H_1 H_2 are two harmonic means between alpha and beta , then

If nine arithmetic means and nine harmonic means are inserted between 2 and 3 alternatively, then prove that A+6//H=5 (where A is any of the A.M.'s and H the corresponding H.M.) dot

Which hydride has greater bond angle ? H_2O, H_2S, H_2Se and H_2Te

Consider the reaction : N_2(g) + 3H_2(g) rarr 2NH_3(g) The equality relationship between (d[NH_3])/(dt) and (d[H_2])/(dt) is

Find the values of non-negative real number h_1, h_2, h_3, k_1, k_2, k_3 such that the algebraic sum of the perpendiculars drawn from the points (2,k_1),(3,k_2),*7,k_3),(h_1,4),(h_2,5),(h_3,-3) on a variable line passing through (2, 1) is zero.

If A, G and H are the arithmetic mean, geometric mean and harmonic mean between unequal positive integers. Then, the equation Ax^2 -|G|x- H=0 has

Arrange H_2O, H_2S and H_2Se in decreasing order of acid strength?

Let a_1, a_2, ,a_(10) be in A.P. and h_1, h_2, h_(10) be in H.P. If a_1=h_1=2a n da_(10)=h_(10)=3,t h e na_4h_7 is 2 b. 3 c. 5 d. 6

Let a_1, a_2 ,........ be positive real numbers in geometric progression. For each n, let A_n, G_n, H_n be respectively the arithmetic mean, geometric mean and harmonic mean of a_1,a_2..........a_n . Find an expression ,for the geometric mean of G_1,G_2,........G_n in terms of A_1, A_2,........ ,A_n, H_1, H_2,........,H_n .