There are (4n+ 1) terms in a certain sequence of which the first (2n+1) terms form an A.P. of common difference 2 and the last (2n + 1) terms are in G.P. of common ratio 1/2. If the middle term of both A.P. and

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.1: Sequences And Their Notations
Problem 70SE: Calculate the first eight terms of the sequences an=(n+2)!(n1)! and bn=n3+3n32n , and then make a...
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There are (4n+ 1) terms in a certain
sequence of which the first (2n+1) terms
form an A.P. of common difference 2 and
the last (2n + 1) terms are in G.P. of common
ratio 1/2. If the middle term of both A.P. and
G.P. are the same, then find the mid-term of
this sequence.
Transcribed Image Text:There are (4n+ 1) terms in a certain sequence of which the first (2n+1) terms form an A.P. of common difference 2 and the last (2n + 1) terms are in G.P. of common ratio 1/2. If the middle term of both A.P. and G.P. are the same, then find the mid-term of this sequence.
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