Write first four terms of the AP, when the first term ‘a’ and the

1.	Write first four terms of the AP, when the first term ‘a’ and the common difference’d’ are given as follows: (i) a = 10, d = 10 (ii) a = -2, d = 0 (iii) a = 4, d = -3 (iv) a = -1, d = (v) a = -1.25, d = 0.25
Answer» (i) a = 10, d = 10 First four terms are, a, a + d, a + 2d, a + 3d 10, 10 + 10, 10 + 20, 10 + 30 10. 20, 30, 40. (ii) a = -2, d = 0 First four terms are, a, a + d, a + 2d, a + 3d -2. -2 + 0, -2 + 0, -2 + 0 -2. -2. -2, -2 (iii) a = 4, d = -3 First four terms are, a, a + d, a + 2d, a + 3d 4, 4 – 3, 4 – 2 × 3, 4 – 3 ×3 4, 1, -2, -5 iv) a = -1, d = \(\frac{1}{2}\) First four terms are, a, a + d, a + 2d, a + 3d - 1, - 1 + \(\frac{1}{2}, \) - 1 + 2 x \(\frac{1}{2}\), - 1 + 3 x \(\frac{1}{2}\) - 1, - \(\frac{1}{2}, \) 0, \(\frac{1}{2}, \) (v) a = -1.25, d = 0.25 First four terms are, a, a + d, a + 2d, a + 3d - 1.25, - 1.25 + 0.25, - 1.25 + 2 × 0.25, - 1.25 + 3 × 0.25 - 1.25, -1, - 0.75, - 0.50

Write first four terms of the AP, when the first term ‘a’ and the common difference’d’ are given as follows: (i) a = 10, d = 10 (ii) a = -2, d = 0 (iii) a = 4, d = -3 (iv) a = -1, d = (v) a = -1.25, d = 0.25

Answer»

(i) a = 10, d = 10

First four terms are,

a, a + d, a + 2d, a + 3d

10, 10 + 10, 10 + 20, 10 + 30

10. 20, 30, 40.

(ii) a = -2, d = 0

First four terms are,

a, a + d, a + 2d, a + 3d

-2. -2 + 0, -2 + 0, -2 + 0

-2. -2. -2, -2

(iii) a = 4, d = -3

First four terms are,

a, a + d, a + 2d, a + 3d

4, 4 – 3, 4 – 2 × 3, 4 – 3 ×3

4, 1, -2, -5

iv) a = -1, d = \(\frac{1}{2}\)

First four terms are,

a, a + d, a + 2d, a + 3d

- 1, - 1 + \(\frac{1}{2}, \) - 1 + 2 x \(\frac{1}{2}\), - 1 + 3 x \(\frac{1}{2}\)

- 1, - \(\frac{1}{2}, \) 0, \(\frac{1}{2}, \)

(v) a = -1.25, d = 0.25

First four terms are,

a, a + d, a + 2d, a + 3d

- 1.25, - 1.25 + 0.25, - 1.25 + 2 × 0.25, - 1.25 + 3 × 0.25

- 1.25, -1, - 0.75, - 0.50