Question

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

Answer 1

The sum of the equation is

$\frac{859}{2772}$

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 =

$\frac{2772 - 693 + 462 - 308 +252 - 198}{2772}$

Add the numerators, do the addition before the substraction

s =

$\frac{859}{2772}$

Thus, the sum of the equation is

$\frac{859}{2772}$

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