`(1)/(2.3)+(1)/(4.5)+(1)/(6.7)+(1)/(8.9)+...`

Find the mode in each of the following data collection. 8,6,7,6,5,4, (1)/(2), 7 (1)/(2), 6 (1)/(2), 8 (1)/(2), 10,7,5,5(1)/(2), 8,9 7,5,6,8 (1)/(2),6

I : (2)/(1!)+(4)/(3!)+(6)/(5!)+....=e-1 II : (3)/(2!)+(5)/(4!)+(7)/(6!)+(9)/(8!)+....=e-1

(5)/(6) -: (6)/(7) xx ? - (8)/(9) -: 1 (2)/(5) -: (3)/(4) xx 3 (1)/(3) = 2(7)/(9)

(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

The sum of the series 5/(1. 2.3)+7/(3. 4.5)+9/(5. 6.7)+ ....is equal to

( (5)/(6)-:(6)/(7)times(6)/(7)-(8)/(9)-:1(3)/(5)+(3)/(4)times3(1)/(3)

Find the sum in the nth group of sequence, (I 1,(2,3),(4,5,6,7),(8,9,………15),……………….. (ii) (1),(2,3,4),(5,6,7,8,9),…………..

Find the matrix A such that : [(1 ,0 ),(0 ,1)]A=[(3 ,3 ,5 ),(1, 0 ,1)] (ii) A[(1, 2, 3 ),(4, 5 ,6)]=[(-7,-8,-9 ),(2, 4 ,6)]