Question

4. Evaluate the following sums. (a) $$\sum_{k=2}^{5} \frac{2k}{k-1}$$ (b) $$\sum_{j=0}^{5} j^{2} \sin (j \pi / 6)$$ (c) $$\sum_{k=3}^{100} 2$$

Name: 4 evaluate the following sums a sumk25 frac2kk 1 b sumj05 j2 sin j pi 6 c sumk3100 2 41085
Uploaded: 2020-08-20T20:12:53-08:00
Duration: 7 min 37 s
Channel: Nick Johnson
Description: 4 evaluate the following sums a sumk25 frac2kk 1 b sumj05 j2 sin j pi 6 c sumk3100 2 41085

          4. Evaluate the following sums.
(a) $$\sum_{k=2}^{5} \frac{2k}{k-1}$$
(b) $$\sum_{j=0}^{5} j^{2} \sin (j \pi / 6)$$
(c) $$\sum_{k=3}^{100} 2$$

$4 evaluate the following sums a sumk25 frac2kk 1 b sumj05 j2 sin j pi 6 c sumk3100 2 41085$

Added by Angela W.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Nick Johnson

08/20/2020

Step 1

Part (a): The sum is given by $$\sum_{k=2}^{5} \frac{2k}{k-1}$$ We need to substitute the values of k from 2 to 5 into the expression and sum them up. For k=2: $$\frac{2(2)}{2-1} = \frac{4}{1} = 4$$ For k=3: $$\frac{2(3)}{3-1} = \frac{6}{2} = 3$$ For k=4: Show more…

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