james1045 james1045
  • 18-07-2022
  • Mathematics
contestada

Find the sum of s = 1 - (1)/(4) + (1)/(6)-(1)/(9)+ (1)/(11)- (1)/(14)...

Respuesta :

barackodam barackodam
  • 19-07-2022

The sum of the equation is

[tex] \frac{859}{2772} [/tex]

How to find the sum

Given the expression

s = 1 - (1)/(4) + (1)/(6)-(1)/(9)+ (1)/(11)- (1)/(14)

Let's find the LCM, which is 2772

s =

[tex] \frac{2772 - 693 + 462 - 308 +252 - 198}{2772} [/tex]

Add the numerators, do the addition before the substraction

s =

[tex] \frac{859}{2772} [/tex]

Thus, the sum of the equation is

[tex] \frac{859}{2772} [/tex]

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