S=(1)/(1)-(3)/(2)+(5)/(4)-(7)/(8)+(9)/(16)

Find the sum of the series 1-(3)/(2)+(5)/(4)-(7)/(8)+(9)/(16).........oo

(1)/(2)+(3)/(2).(1)/(4)+(5)/(3).(1)/(8)+(7)/(4).(1)/(16)+....=

Re-arrange suitably and find the sum in each of the following: (2)/(3)+(-4)/(5)+(1)/(3)+(2)/(5) (ii) (1)/(8)+(5)/(12)+(2)/(7)+(7)/(12)+(9)/(7)+(-5)/(16)

The value of (5^((1)/(4))-: (3)/(7)"of"(1)/(2)) -: (5(1)/(9)-7(7)/(8)-: 9 (9)/(20)) xx(11)/(21)+ (2-: 2 "of" (1)/(2)) is :

(5)/(6)-:(6)/(7)xx?-(8)/(9)-:1(3)/(5)+(3)/(4)xx3(1)/(3)=2(7)/(9)(7)/(6)(b)(6)/(7)(c)1(d) None of these

Simplify : [ ((- 3 )/( 2) xx (4)/(5) ) + ((9)/(5) xx (-10)/( 3)) - ((1)/(2)xx (3)/(4)) ] div [ ((21)/( 9) xx (3)/(7)) +((7)/(8) xx (16)/(14)) ]

9-1(2)/(9) of 3(3)/(11)-:5(1)/(7) of (7)/(9)=?(5)/(4)(b)8(c)8(32)/(81) (d) 9