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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»


Answer :(i) Not AP
(ii) AP, next three terms =4 `,9/2, 5`
(iii) AP, next three terms `=-9.2, -11.2, -13.2`
(iv) AP, next three terms =6,10,14
(V) AP, next three terms `=3+4sqrt(2), 3+5sqrt(2), 3+6sqrt(2)`
(vi) Not AP
(vii) AP, nesxt three terms `=-16, -20, -24`
(viii) AP, next three terms `=-1/2, -1/2, -1/2`
(IX) Not AP
(x) AP, next three term = 5a, 6a, 7a
(xi) Not AP
(xii) AP, next three terms `=SQRT(50), sqrt(72), sqrt(96)`
(xiii) Not AP


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