Which of the following are APs ? If they form an AP, find the common difference d and write three more terms.
(i) 2, 4, 8, 16, . . .
(ii) 2, 5/2 , 3, 7/2. . .
(iii) – 1.2, – 3.2, – 5.2, – 7.2, . . .
(iv) – 10, – 6, – 2, 2, . . .
(v) 0.2, 0.22, 0.222, 0.2222, . . .
(vi) 0, – 4, – 8, –12, . . .
(vii) 1, 3, 9, 27, . . .
(ix) a, 2a, 3a, 4a, . . .
(xi) a, a2, a3, a4, . . .
(xiv) 12, 32, 52, 72, . . .
(xv) 12, 52, 72, 73, . . .
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(ii) 2 , 5/2 , 3 , 7/2
d = 5/2 - 2= 1/2
(iii) -1.2, -3.2 , -5.2
d = -3.2 + 1.2 = -2
(iv) -10 , -6 , -2 , 2
d = -6 + 10 = 4
(vi) 0, -4 , -8 , -12
d = -4 - 0 = -4
(ix) a , 2a , 3a , 4a ..
d = 2a - a = a
So (ii) , (iii) , (iv) , (vi) , (ix) are in Ap
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