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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 16E
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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.

There are (↳n + 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 (↳n + 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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