4. 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, frac{5}{2}, 3, frac{7}{2}, …)
(iii) -1.2, -3.2, -5.2, -7.2, …
(iv) -10, -6, -2, 2, …
(v) 3, (3+sqrt2), (3+2sqrt2), (3+3sqrt2), …
(vi) 0.2, 0.22, 0.222, 0.2222, …
(vii) 0, -4, -8, -12, …
(viii) (-frac{1}{2}, -frac{1}{2}, -frac{1}{2}, …)
(ix) 1, 3, 9, 27, …..
(x) a, 2a, 3a, 4a, ….
(xi) (a, a^2, a^3, a^4, …)
(xii) (sqrt2, sqrt8,)(sqrt{18}, sqrt{32}, …)
(xiii) (sqrt3, sqrt6, sqrt9, sqrt{12}, …)
(xiv) (1^2, 3^2, 5^2, 7^2, …)
(xv) (1^2, 5^2, 7^2, 73, …)
Arithmetic Progressions
Exercise 5.1
Class 10
Arithmetic Progressions
Exercise 5.1
3. For the following APs, write the first term and the common difference:
(iii) (frac{1}{3}, frac{5}{3}, frac{9}{3}, frac{13}{3}, …)
(ii) (2, frac{5}{2}, 3, frac{7}{2}, …)
(iii) -1.2, -3.2, -5.2, -7.2, …
(v) 3, (3+sqrt2), (3+2sqrt2), (3+3sqrt2), …
(vi) 0.2, 0.22, 0.222, 0.2222, …
(viii) (-frac{1}{2}, -frac{1}{2}, -frac{1}{2}, …)
(xii) (sqrt2, sqrt8,)(sqrt{18}, sqrt{32}, …)
(xiii) (sqrt3, sqrt6, sqrt9, sqrt{12}, …)
