If `t = 4/5 + (4.6)/(5.10) + (4.6.8)/(5.10.15) + ……oo`
then prove that 9t = 16

If t = 1 - 1/8 + (1.3)/(8.16) -(1.3.5)/(8.16.24) + …… then prove that 5t^2 = 4

Show that (4.6)/(5.10) + (4.6.8)/(5.10.15) + (4.6.8.10)/(5.10.15.20) + ……. = 44/45

If x=(1)/(5)+(1.3)/(5.10)+(1.3.5)/(5.10.15)+….oo then find 3x^(2)+6x.

Show that (3.5)/(5.10) + (3.5.7)/(5.10.15) + (3.5.7.9)/(5.10.15.20)+ …..oo = (5sqrt5)/(3 sqrt3) - 8/5

Sho that 3/6 + (3.5)/(6.9) + (3.5.7)/(6.9.12)+ ……..oo 3 sqrt3 - 4

If the sets A and B are given by A = {1, 2, 3, 4} B = {2, 4, 6, 8, 10} and the universal set U = {1,2,3,4,5,6,7,8,9,10} then

If f={(1,4),(2,5),(3,6)} and g={(4,8),(5,7),(6,9)} , then gof is

If A = {3, 6, 9, 12 , 15 , 18 , 21} , B = { 4, 8, 12 ,16 , 20 } , C = { 2, 4, 6, 8, 10 , 12 , 14 , 16 } , D = {5, 10 , 15 , 20 } ; find(i) A - B (ii) A - C (iii) A - D

Find the sum of infinite terms of the series : (3)/(2.4) + (5)/(1.4.6) + (7)/(2.4.6.8)+ (9)/(2.4.6.8.10)+……

Let A = { 2,3,4,5,6 } and B = { 4,6,8,10 } Find A uu B