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

Question

KnowledgeBoat · Accepted Answer

(i) First four terms of the A.P. are given by : ⇒ a, a + d, a + 2d, a + 3d. Substituting values we get : ⇒ 10, 10 + 10, 10 + 2 × 10, 10 + 3 × 10. ⇒ 10, 20, 30, 40. Hence, first four terms of the A.P. are 10, 20, 30 and 40. (ii) First four terms of the A.P. are given by : ⇒ a, a + d, a + 2d, a + 3d. Substituting values we get : ⇒ -2, -2 + 0, -2 + 2 × 0, -2 + 3 × 0. ⇒ -2, -2, -2, -2. Hence, first four terms of the A.P. are -2, -2, -2, -2. (iii) First four terms of the A.P. are given by : ⇒ a, a + d, a + 2d, a + 3d. Substituting values we get : ⇒ 4, 4 + (-3), 4 + 2 × (-3) + 4 + 3 × (-3). ⇒ 4, 4 - 3, 4 - 6, 4 - 9. ⇒ 4, 1, -2, -5. Hence, first four terms of the A.P. are 4, 1, -2, -5. (iv) First four terms of the A.P. are given by : ⇒ a, a + d, a + 2d, a + 3d. Substituting values we get : ⇒ -1, ⇒ -1, ⇒ -1, ⇒ -1, . Hence, first four terms of the A.P. are . (v) First four terms of the A.P. are given by : ⇒ a, a + d, a + 2d, a + 3d. Substituting values we get : ⇒ -1.25, -1.25 + (-0.25) + -1.25 + 2 × -0.25, -1.25 + 3 × -0.25 ⇒ -1.25, -1.25 - 0.25, -1.25 + (-0.5), -1.25 + (-0.75) ⇒ -1.25, -1.5, -1.75, -2 Hence, first four terms of the A.P. are -1.25, -1.5, -1.75, -2.

S. No.	a	d	n	a_n
(i)	7	3	8	-----
(ii)	-18	----	10	0
(iii)	----	-3	18	-5
(iv)	-18.9	2.5	------	3.6
(v)	3.5	0	105	--------

Mathematics

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

AP

Related Questions

Fill in the blanks in the following table, given that a is the first term, d the common difference and a_n the nth term of the AP :
S.
No. a d n a_n
(i) 7 3 8 -----
(ii) -18 ---- 10 0
(iii) ---- -3 18 -5
(iv) -18.9 2.5 ------ 3.6
(v) 3.5 0 105 --------

Mathematics

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

AP

Related Questions

Fill in the blanks in the following table, given that a is the first term, d the common difference and an the nth term of the AP :S.No.adnan(i)738-----(ii)-18----100(iii)-----318-5(iv)-18.92.5------3.6(v)3.50105--------

Fill in the blanks in the following table, given that a is the first term, d the common difference and a_n the nth term of the AP :
S.
No. a d n a_n
(i) 7 3 8 -----
(ii) -18 ---- 10 0
(iii) ---- -3 18 -5
(iv) -18.9 2.5 ------ 3.6
(v) 3.5 0 105 --------