1.Find the sum : `(a) -2/3+3/(-4)
(b)-1/2+1/6
(c)-1/2+2/3+4/5
(d) 4+(-5/6)+5/3`

Solve (a) 2/3 + 1/7 (b) 3/10 + 7/15 (c) 4/9 + 2/7 (d) 5/7 + 1/3 (e) 2/5 + 1/6 (f) 4/5 + 2/3 (g) (3/4) (1/3) (h) (5/6) (1/3) (1) 2/3 + 3/4 + 1/2 (1) 1/2 + 1/3 = 1/6 (k) (1) 1/3 + (3) 2/3 (1) (4) 2/3 +(3) 1/4 (m) ((16)/5))(7/5)

Find the sum of: 24 terms and n terms of 2 (1)/(2) , 3 (1)/(3) , 4 (1)/(6) ,5 ,......,

Find the sum of the series 1/(3^2+1)+1/(4^2+2)+1/(5^2+3)+1/(6^2+4)+oo

Multiply and express as a mixed fraction : (a) 3 xx 5 1/5 (b) 5 xx 6 3/4 (c) 7 xx 2 1/4 (d) 4 xx 6 1/3 (e) 3 1/4 xx 6 (f) 3 2/3 xx 8

The matrix X for which [1-4 3-2]X=[-16-6 7 2] [-2 4-3 1] (b) [-1/5 2/5(-3)/(10)1/5] [6 2(11)/2 2] (d) [-16-6 7 2]

The sum of the series 1 + (1)/(3^(2)) + (1 *4)/(1*2) (1)/(3^(4))+( 1 * 4 * 7)/(1 *2*3)(1)/(3^(6)) + ..., is (a) ((3)/(2))^((1)/(3)) (b) ((5)/(4))^((1)/(3)) (c) ((3)/(2))^((1)/(6)) (d) None of these

Find the sum of the following infinite series 1/2(1/5)^2+2/3(1/5)^3+3/4(1/5)^4+

The coordinates of the point P dividing the line segment joining the points A(1,\ 3) and B(4,\ 6) in the ratio 2\ :1 are (2,\ 4) (b) (3,\ 5) (c) (4,\ 2) (d) (5,\ 3)

Evaluate: (i) 2/(-3) + -4/9 , (ii) =1/2 + -3/4 , (iii) 7/-9 + -5/6 (iv) 2 + -3/4 , (v) 3 + -5/6 , (vi) -4 + 2/3

If int1/(5+4sinx)\ dx=Atan^(-1)(Btanx/2+4/3)+C , then A=2/3,\ \ B=5/3 (b) A=1/3,\ \ B=2/3 (c) A=-2/3,\ \ B=5/3 (d) A=1/3,\ \ B=-5/3