Question

Please answer this question​

Answer 1

Answer:

(a) 1001/3

Step-by-step explanation:

This is very easy, it has a specific pattern that you need to observe. Every term is of the form:

$(2 - (\frac{3n - 2}{3n}))$

2 – 1/3 = 5/3

2 – 3/5 = 7/5

2 – 5/7 = 9/7

2 – 7/9 = 11/9

.

.

2 – 995/997 = 999/997

2 – 997/999 = 1001/999

And your question becomes:

$\frac{5}{3} \times \frac{7}{5} \times \frac{9}{7} \times \frac{11}{9} \times \frac{13}{11} \times \frac{15}{13} \times ... \: ... \times \frac{997}{995} \times \frac{999}{997} \times \frac{1001}{999}$

That is, the numerator in every term cancels the denominator in the succeeding term.

So, it equates to 1/3 × ... × 1001/1 = 1001/3

Hope that helps

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