How many terms of the G.P. `(2)/(9)-(1)/(3)+(1)/(2)..." give the sum "(55)/(72)?`

How many terms are needed of the series (2)/(9)-(1)/(3)+(1)/(2)-… to give the sum (55)/(72) ?

How many terms are needed of the series (2)/(9)-(1)/(3)+(1)/(2)-… to give the sum (55)/(72) ?

How many terms of the G.P. (2)/(9),-(1)/(3),(1)/(2), . . . . . . . . . . . must be added to get the sum equal to (55)/(72) ?

How many terms of the A.P.- 6, (-11)/2,-5, (-9)/2 ... are needed to give the sum zero ?

How many terms of the GP 3,(3)/(2),(3)/(4),...... are needed to give sum (3069)/(512)?

Find how many terms of G.P. (2)/(9)-(1)/(3)+(1)/(2) . . . . .. . . . . . must be added to get the sum equal to (55)/(72) ?

How many terms of the A.P. 1,4,7,... are needed to give the sum 925 ?