Question

$ \sum_{j=1}^{8} \frac{1}{2} \left[ \left( 1 + \frac{j}{2} \right)^{2} - 4 \left( 1 + \frac{j}{2} \right) + 5 \right] $ (Note that your answer should be a positive numeric value.)

Name: ∑j=1^8(1)/(2)[ ( 1 + (j)/(2))^2 - 4 ( 1 + (j)/(2)) + 5 ] (Note that your answer should be a positive numeric value.)
Uploaded: 2024-05-02T01:29:47-08:00
Duration: 2 min 43 s
Channel: Jason Horton
Description: ∑j=1^8(1)/(2)[ ( 1 + (j)/(2))^2 - 4 ( 1 + (j)/(2)) + 5 ] (Note that your answer should be a positive numeric value.)

          \( \sum_{j=1}^{8} \frac{1}{2} \left[ \left( 1 + \frac{j}{2} \right)^{2} - 4 \left( 1 + \frac{j}{2} \right) + 5 \right] \) (Note that your answer should be a positive numeric value.)

Added by Ryan R.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Jason Horton

05/02/2024

Step 1

$\sum_{j=1}^8 \frac{1}{2} \left[ \left( 1 + \frac{j}{2} \right)^2 - 4 \left( 1 + \frac{j}{2} \right) + 5 \right] = \sum_{j=1}^8 \frac{1}{2} \left[ 1 + j + \frac{j^2}{4} - 4 - 2j + 5 \right]$ Show more…

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(b) $\sum_{j=1}^8 \frac{1}{2} \left[ \left( 1 + \frac{j}{2} \right)^2 - 4 \left( 1 + \frac{j}{2} \right) + 5 \right]$ (Note that your answer should be a positive numeric value.)