" (i) "3,1,-1,-3,dots

Sum of n terms of the series 1,3,7,15,31,dots... is

If A=[[4,-1,-4],[ 3, 0,-4],[ 3,-1,-3]] , show that A^2=I_3dot

For the following arithmetic progressions write the first term a and the common difference d : 0. 3 , 0. 55 , 0. 80 , 1. 05 , dot (ii) -1. 1 , -3. 1 , -5. 1 , -7. 1 , dot

The common difference of the A.P. 1/3,(1-3b)/3,(1-6b)/3,\ dot is (a) 1/3 (b) -1/3 (c) - b (d) b

The common difference of the A.P. 1/3,(1-3b)/3,(1-6b)/3,\ dot is 1/3 (b) -1/3 (c) b (d) b

If the LCM of 1,2,3,......,120 is n,find the LCM of 1,2,3,dots,125.

Show that the following points are coplanar: (0,\ 4,\ 3),\ (-1,\ -5,\ -3),\ (-2,\ -2,\ 1)a n d\ (1,\ 1,\ -1)dot

Show that the following points are coplanar: (0,\ 4,\ 3),\ (-1,\ -5,\ -3),\ (-2,\ -2,\ 1)a n d\ (1,\ 1,\ -1)dot

Let A={1,2,3},\ B={1,3,5}dot If relation R from A to B is given by R={(1,3),\ (2,5),\ (3,3)}dot Then R^(-1) is

For the following arithmetic progressions write the first term a and the common difference d : 0. 3 ,\ 0. 55 ,\ 0. 80 ,\ 1. 05 ,\ dot (ii) -1. 1 ,\ -3. 1 ,\ -5. 1 ,\ -7. 1 ,\ dot