Which of the following are Aps? If they form an AP, find the common difference d and write the next three terms.
(i) 24m8m16,…..
(ii) `2,5/2, 3, 7/2`,…..
(iii) `-1.2, -3.2, -5.2, -7.2`,……..
(iv) `-10,-6,-2,2`,………..
(v) `3,3+sqrt(2), 3+2sqrt(2), 3+3sqrt(2)`,..........
(vi) 0.2, 0.22, 0.222, 0.2222,.....
(vii) `0,-4, -8,-12`,..........
(viii) `-1/2, -1/2, -1/2, -1/2`,...........
(ix) 1,3,9,27,.......
(x) a,2a, 3a, 4a,.......
(xi) `a, a^(2), a^(3), a^(4)`,.........
(xii) `sqrt(2), sqrt(8), sqrt(18), sqrt(32)`,......
(xiii) `sqrt(3), sqrt(6), sqrt(9), sqrt(12)`,...............

Answer

(i) Yes; 32,64, 128 , (ii) Yes, `-1/24, 1/48, -1/96`
(iii) No, (iv) Yes, `-54, -162, -148`
(v) No
(vi) Yes, `-81, 243, -729` , (vii) yes, `1/x^(2), 1/x^(3), 1/x^(4)`,……
(viii) Yes, `-16, 32sqrt(2), -128`, (ix) Yes; 0.0004, 0.00004, 0.000004