b) Transform the summation by making the specified change of index variable :k to j using formula j=k-1 7 E k(k+2)(k-3) k=1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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**Transcription for Educational Website:**

---

**b) Transform the summation by making the specified change of index variable: k to j using the formula j = k - 1**

\[
\sum_{{k=1}}^{7} k(k+2)(k-3)
\]

---

**Explanation of Diagrams/Graphs:**

There are no graphs or diagrams in this image. The content consists of a mathematical expression involving a summation and a change of the index variable using a formula. The transformation requires changing the index from \( k \) to \( j \) using the given relationship \( j = k - 1 \).
Transcribed Image Text:**Transcription for Educational Website:** --- **b) Transform the summation by making the specified change of index variable: k to j using the formula j = k - 1** \[ \sum_{{k=1}}^{7} k(k+2)(k-3) \] --- **Explanation of Diagrams/Graphs:** There are no graphs or diagrams in this image. The content consists of a mathematical expression involving a summation and a change of the index variable using a formula. The transformation requires changing the index from \( k \) to \( j \) using the given relationship \( j = k - 1 \).
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