Solved: Evaluate the summations and products in the

Chapter 5, Problem 36E

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QUESTION:

Evaluate the summations and products in 33–36 for the indicated values of the variable.

\(\left(\frac{1 \cdot 2}{3 \cdot 4}\right)\left(\frac{4 \cdot 5}{6 \cdot 7}\right)\left(\frac{6 \cdot 7}{8 \cdot 9}\right) \ldots\left(\frac{m \cdot(m+1)}{(m+2) \cdot(m+3)}\right) ; m=1\)

Text Transcription:

(1 cdot 2 / 3 cdot 4) (4 cdot 5 / 6 cdot 7) (6 cdot 7 / 8 cdot 9) ldots (m cdot(m+1) / (m+2) cdot(m+3)) ; m=1

Questions & Answers

QUESTION:

Evaluate the summations and products in 33–36 for the indicated values of the variable.

\(\left(\frac{1 \cdot 2}{3 \cdot 4}\right)\left(\frac{4 \cdot 5}{6 \cdot 7}\right)\left(\frac{6 \cdot 7}{8 \cdot 9}\right) \ldots\left(\frac{m \cdot(m+1)}{(m+2) \cdot(m+3)}\right) ; m=1\)

Text Transcription:

(1 cdot 2 / 3 cdot 4) (4 cdot 5 / 6 cdot 7) (6 cdot 7 / 8 cdot 9) ldots (m cdot(m+1) / (m+2) cdot(m+3)) ; m=1

ANSWER:

Solution:-

Step1

Given that

We have to evaluate the summations and products in the indicated values of the variable.

Step2

We have

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