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

Question

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

in progress 0
Amity 1 year 2021-09-01T21:40:16+00:00 1 Answers 5 views 0

Answers ( )

    0
    2021-09-01T21:41:36+00:00

    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.

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )