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(3)/(8)-(-2)/(9)+(-1)/(36)...

`(3)/(8)-(-2)/(9)+(-1)/(36)`

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Simplify: (5)/(6)+(-2)/(5)-(-2)/(15) (ii) (3)/(8)-(-2)/(9)+(-5)/(36)

Simplify: 5/6+(-2)/5-(-2)/(15) (ii) 3/8-(-2)/9+(-5)/(36)

Find the sum: (i) (4)/(9)+(2)/(9) (ii) (3)/(8) + (1)/(8)+(5)/(8)

Prove the following: (9)/(8)-(9)/(4)sin^(-1)((1)/(3))=(9)/(4)sin^(-1)((2sqrt(2))/(3))

Prove that : Find the sum of the infinite series 1+(2)/(3).(1)/(2)+(2.5)/(3.6)((1)/(2))^(2)+(2.5.8)/(3.6.9)((1)/(2))^(3)+......oo

Prove that : Find the sum of the infinite series 1+(2)/(3).(1)/(2)+(2.5)/(3.6)((1)/(2))^(2)+(2.5.8)/(3.6.9)((1)/(2))^(3)+......oo

In a throw of a pair of dice the probability of A total of 8 but not 11? (a) (5)/(36) (b) (1)/(12) (c) (2)/(36) (d) (1)/(9)

Simplify: (a) 108-:36 of (1)/(4)+(2)/(5)xx3(1)/(4) (b) (2)/(3)xx(5)/(6)+(4)/(9)-(3)/(4)+(2)/(9)xx(5)/(9)-:(2)/(9)

Prove that (9pi)/(8) -(9)/(4) sin^(-1) ((1)/(3)) =(9)/(4) sin^(-1)((2sqrt(2))/(3)) .

Prove that (9pi)/(8) -(9)/(4) sin^(-1)((1)/(3)) =(9)/(4) sin^(-1)((2sqrt(2))/(3)) .