Show that each of the following sequences is an A.P. Also, find the common difference and write 3 more terms in each case.
i. `3,\ -1,\ -5,\ -9...... `
ii. `-1,1//4,3//2, 11//4.....`

Show that each of the following sequences is an A.P. Also, find the common difference and write 3 more terms in each case. i. sqrt(2),\ 3sqrt(2),\ 5sqrt(2),\ 7sqrt(2) ....... ii. 9,7,5,3....

Show that each of one of the following progression is a G.P. Also, find the common ratio in each case: 4,\ -2,\ 1,\ -1//2

Show that each of one of the following progression is a G.P. Also, find the common ratio in each case: a ,(3a^2)/4,(9a^3)/(16), ,

Show that each of one of the following progression is a G.P. Also, find the common ratio in each case: 1//2,\ 1//3,\ 2//9,\ 4//27 dot

Show that each of one of the following progression is a G.P. Also, find the common ratio in each case: -2//3-6,-54 dot

Show that the sequence t_(n) defined by t_(n)=5n+4 is AP, also find its common difference.

Write the next two terms of the A.P. : 3, -1, -5, ... .

Which of the following are A.P's ? If they form an A.P., find the common difference 'd' and write two more terms : (i) 2, 4, 8, 16, ... (ii) 2, (5)/(2), 3, (7)/(2), ... (iii) -1.2, -3.2, -5.2, -7.2, .... (iv) -(1)/(2),-(1)/(2),-(1)/(2),-(1)/(2),...

Which of the following are A.P.'s ? If they form an A.P., find the common difference 'd' and write three more terms : (i) -10, -6, -2, 2, ..... " " (ii) 3, 3+sqrt(2), 3+2sqrt(2), 3+3sqrt(2), ... (iii) 0, -4, -8, -12, .... " " (iv) a, 2a, 3a, 4a, ..... (v) sqrt(3), sqrt(6), sqrt(9), sqrt(12), .....

If the sum of n terms of an A.P. is S_n=3n^2+5n . Write its common difference.