Which of the following are APs

MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series

Problem

Which of the following are APs ? If they form an AP, find the common difference dd and write three more terms. (1) 2, 4, 8, 16, ... (2) 2,52,3,72,…2, \frac{5}{2}, 3, \frac{7}{2}, \dots (3) −1.2,−3.2,−5.2,−7.2,…-1.2, -3.2, -5.2, -7.2, \dots (4) −10,−6,−2,2,…-10, -6, -2, 2, \dots (5) 3,3+2,3+22,3+32,…3, 3 + \sqrt{2}, 3 + 2\sqrt{2}, 3 + 3\sqrt{2}, \dots (6) 0.2, 0.22, 0.222, 0.2222, ... (7) 0, -4, -8, -12, ... (8) −12,−12,−12,−12,…-\frac{1}{2}, -\frac{1}{2}, -\frac{1}{2}, -\frac{1}{2}, \dots

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