Home
Class 12
MATHS
Let n in N ,n > 25. Let A ,G ,H deonote...

Let `n in N ,n > 25.` Let `A ,G ,H` deonote te arithmetic mean, geometric man, and harmonic mean of 25 and `ndot` The least value of `n` for which `A ,G ,H in {25 , 26 , n}` is a. 49 b. 81 c.169 d. 225

A

49

B

81

C

169

D

225

Text Solution

Verified by Experts

The correct Answer is:
C
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 n in N,n>25. Let A,G,H deonote te arithmetic mean,geometric man,and harmonic mean of 25 and n. The least value of n for which A,G,H in{25,26,...n} is a.49 b.81 c.l69d.225

Let A;G;H be the arithmetic; geometric and harmonic means of two positive no.a and b then A>=G>=H

If A, G and H are the arithmetic, geometric and harmonic means between a and b respectively, then which one of the following relations is correct?

If the arithmetic mean between a and b equals n times their geometric mean, then find the ratio a : b.

Let a_1,a_2,a_3…………., a_n be positive numbers in G.P. 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 On the basis of above information answer the following question: A_k,G_k,H_k are in (A) A.P. (B) G.P. (C) H.P. (D) none of these

.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 & 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.

Let a_(1), a_(2) ...be positive real numbers in geometric progression. For n, if A_(n), G_(n), H_(n) are respectively the arithmetic mean, geometric mean and harmonic mean of a_(1), a_(2),..., a_(n) . Then, 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)

If n(G-H)=15 and n(G nn H)=10 , then find the value of n(G) .