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m-1 1 If * Σ( ² ) = 4( ¹ - ₂ = ²/₁ ) ₁ ₁ k=1 2m m «£ () simplification of 04(1-2-²-1) 2m 04 (1+ 1 2m 08 (1-2) 08 (1+²) 08(1-²1) 04(1-2) then which of the following is equal to the algebraic

m-1 1 If * Σ( ² ) = 4( ¹ - ₂ = ²/₁ ) ₁ ₁ k=1 2m m «£ () simplification of 04(1-2-²-1) 2m 04 (1+ 1 2m 08 (1-2) 08 (1+²) 08(1-²1) 04(1-2) then which of the following is equal to the algebraic

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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If \(\sum_{k=1}^{m-1} \left( \frac{4}{2^k} \right) = 4 \left( 1 - \frac{1}{2^{m-1}} \right)\), then which of the following is equal to the algebraic simplification of \(\sum_{k=1}^{m} \left( \frac{4}{2^k} \right)\)? - \( \circ \, 4 \left(1 - \frac{1}{2^{m-1}} \right) \) - \( \circ \, 4 \left(1 + \frac{1}{2^m} \right) \) - \( \circ \, 8 \left(1 - \frac{1}{2^m} \right) \) - \( \circ \, 8 \left(1 + \frac{1}{2^m} \right) \) - \( \circ \, 8 \left(1 - \frac{1}{2^{m-1}} \right) \) - \( \circ \, 4 \left(1 - \frac{1}{2^m} \right) \)
Transcribed Image Text:If \(\sum_{k=1}^{m-1} \left( \frac{4}{2^k} \right) = 4 \left( 1 - \frac{1}{2^{m-1}} \right)\), then which of the following is equal to the algebraic simplification of \(\sum_{k=1}^{m} \left( \frac{4}{2^k} \right)\)? - \( \circ \, 4 \left(1 - \frac{1}{2^{m-1}} \right) \) - \( \circ \, 4 \left(1 + \frac{1}{2^m} \right) \) - \( \circ \, 8 \left(1 - \frac{1}{2^m} \right) \) - \( \circ \, 8 \left(1 + \frac{1}{2^m} \right) \) - \( \circ \, 8 \left(1 - \frac{1}{2^{m-1}} \right) \) - \( \circ \, 4 \left(1 - \frac{1}{2^m} \right) \)
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