Home
Class 12
MATHS
The corresponding first and the (2n-1)th...

The corresponding first and the (2n-1)th terms of an A.P a G.P and a H.P are equal ,If their nth terms are a, b and c , respectively , then

A

`a=b=c`

B

`agebgec`

C

`a+c=b`

D

`ac-b^(2)=0`

Text Solution

Verified by Experts

The correct Answer is:
B, D
In a AP of `(2n-1)` terms, nth term =a
In a GP of `(2n-1)` terms, nth term =b
In a HP of `(2n-1)` terms, nth term =c
a,b,c will be arithmetic mean, geometric mean, harmonic mean, respectively.
So, `a ge b gec` and `b^(2)=ac`
.
Promotional Banner

Similar Questions

Explore conceptually related problems

7th term of an A.P. is 40. then the sum of the first 13 terms is

If the 3rd and 9th term of an A.P. are 4 and -8 respectively, which term is zero?

Find the sum of first 51 terms of an A.P whose second and third terms are 14 and 18 respectively.

IF m^(th) term of an A.P. is n and n^(th) term is m, then find p^(th) term?

The 7th and 13th terms of an A.P. are 34 and 64 respectively, 1 Then its first term difference are:

The sum of the first three terms of an A.P is 33 . If the product of the first terms and third term exceeds the 2nd term by 29 then find the A.P . The pth qth and rth term of an A.P . Are a b and c respectively . Prove that a (q-r)+ b(r-P)+c(p-q)=0

If 29th term of an A.P is twice its 19th term, then the 9th term is

The 5th ,8th , 11th , terms of a G.P. are p,q and s, respectively .Show that q^(2) =ps

The 10th term of an A.P : 2, 7, 12, ......

The first and the last term of an A.P are 17 and 350 respectively. If the common difference is 9, how many terms are there and what is their sum ? OR Find the sum of first 51 terms of an A.P whose 2nd term and 3rd term aer 14 and 18 respectively.