CBSE Class 11-science Answered
Link to the question :
Asked by buttercup | 09 Mar, 2012, 02:06: PM
Expert Answer
here An = (An-1 + Hn-1)/2 , Hn = 2An-1.Hn-1/(An-1 + Hn-1) , Gn = sqroot(An-1.Hn-1)
On multiplying the first 2 equations we get An.Hn = An-1.Hn-1 ,
So Gn+1 = Gn , Thus G1 = G2 = G3 =...........
Also it can be seen that An > Gn > Hn ,
Now,
An+1 is the arithmetic mean of An and Hn , Thus An > An+1 ,
So An is in order i.e. A1 > A2 > A3 > ......
Similarly
Hn is in order H1<H2<H3< ......
Answered by | 12 Mar, 2012, 11:40: AM
Application Videos
-
Sum of infinite terms of an Arithmetic-Geometric Progre ...
Video contains the question based on how to find the sum of infinite terms ...
Concept Videos
-
Concepts of sequence and series - Introduction
Introduce the concept of sequences and series, their types and specific typ... -
Arithmetic Progressions
This video covers examples on condition for a sequence to be an arithmetic ... -
Relationship between A.M. and G.M.
This video explains the geometric Mean of two numbers and inserting numbers... -
Special Sequences and Series
This video covers examples related to Summation of a series containing squa... -
Arithmetic Mean
This video explains the arithmetic mean of two numbers, inserting n numbers...
CBSE 11-science - Maths
Asked by cubesneha.2005 | 07 Feb, 2024, 12:55: AM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by hridayjayaram085 | 31 Jan, 2024, 10:53: PM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by prashantbharati75 | 29 Sep, 2023, 09:30: AM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by Bhaveshkr211 | 30 Jul, 2023, 05:20: PM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by sakshirana374 | 24 Jul, 2022, 05:39: PM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by sanjuktamukherjee165 | 24 Oct, 2021, 11:04: AM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by rahulksinha200 | 16 Oct, 2021, 02:08: PM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by Vibhorjarora798 | 21 Aug, 2021, 05:43: PM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by shivangkarol | 16 Jun, 2021, 01:18: PM
ANSWERED BY EXPERT
