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for (b) and (c), the ending index of the sums include log. Recall lg is two-base log so lg = log_2.  AND: -1 at the end of the index is outside of the log so  For (b), the index should read as (log_3 n) - 1, and For (c), the index should read as (lg n) - 1.

for (b) and (c), the ending index of the sums include log. Recall lg is two-base log so lg = log_2.  AND: -1 at the end of the index is outside of the log so  For (b), the index should read as (log_3 n) - 1, and For (c), the index should read as (lg n) - 1.

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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for (b) and (c), the ending index of the sums include log. Recall lg is two-base log so lg = log_2. 

AND: -1 at the end of the index is outside of the log so 

For (b), the index should read as (log_3 n) - 1, and

For (c), the index should read as (lg n) - 1.

 

 
Solve the following summations: a) Σ+ i, b) Σegan-131+1, c) Egn-1)*
Transcribed Image Text:Solve the following summations: a) Σ+ i, b) Σegan-131+1, c) Egn-1)*
Expert Solution
Step 1

We have to solve the summations right from the start till the end of the number. Log properties are used as:

3log3n-1=(n-1).

The property is the basic property of the log to be used. Summations are done on the basis of the quality of numbers.

The summation is expressed as:  ∑. 

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