mrsbelladonnas6287 mrsbelladonnas6287
  • 14-02-2021
  • Mathematics
contestada

What is the product of $\frac{3}{2} \times \frac{4}{3} \times \frac{5}{4} \ldots \times \frac{2006}{2005}$?

Respuesta :

Muscardinus Muscardinus
  • 15-02-2021

Answer:

2.5

Step-by-step explanation:

We need to find the product of the following expression.

[tex]\dfrac{3}{2}\times \dfrac{4}{3}\times \dfrac{5}{4}\times \dfrac{2006}{2005}[/tex]

3 and 4 are there in both numerator and denominator. It will cancel out.

[tex]\dfrac{1}{2}\times \dfrac{1}{1}\times \dfrac{5}{1}\times \dfrac{2006}{2005}\\\\=\dfrac{5}{2}\times \dfrac{2006}{2005}\\\\= 2.5[/tex]

So, the value of the above expression is 2.5.

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