Nutei Nutei
  • 23-06-2020
  • Mathematics
contestada

Find the sum of (1-1/n) + (1-2/n) + (1 - 3/n)....upto n terms

Respuesta :

ronhagrid310
ronhagrid310 ronhagrid310
  • 23-06-2020

Answer:

(n - 1)/2

Step-by-step explanation:

F = (1 - 1/n) + (1 - 2/n) + (1 - 3/n) + ...(1 - n/n)

  = (1 + 1 ... + 1) - (1/n + 2/n + 3/n + ...n/n)

     (there are n terms of 1)

  = n - (1 + 2 + 3 + ... + n)/n

  = n - [n x (n + 1)/2]/n

  = n - [n x (n + 1)]/[2 x n]

  = n - (n+1)/2

  = (2n - n - 1)/2

  = (n - 1)/2

Hope this helps!

Answer Link

Otras preguntas

determine algerbraically if the following functions are even,odd, or neither. if even or odd, state the symmetry
Please help! I need this answer until tmr
The portion of ________ that a bank does not loan out or spend on securities is known as ________.
When a country is reliant on other countries for products, manufactured goods or services, this is known as international interdependence domestic interdepend
Need help with question 8 pls
Which of the following is not a goal of psychology? O Predict Analyze Describe Explain​
Engineers are increasingly aware of ________ when designing new or improved products.
simplify: 2/√5+√3+1/√2+√3-3/√5+√2
Last week, raina drove n miles. This week, she drove 197 miles. Using n, write an expression for the total number of miles she drove in two weeks
A style of casket interior created by placing a padding material between a lining material and a backing material, with subsequent sticthes taken, forming small