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 | --------

Question

KnowledgeBoat · Accepted Answer

(i) By formula, a_n = a + (n - 1)d Substituting values we get : a_n = 7 + 3(8 - 1) = 7 + 3 × 7 = 7 + 21 = 28. Hence, a_n = 28. (ii) By formula, a_n = a + (n - 1)d Substituting values we get : ⇒ 0 = -18 + (10 - 1)d ⇒ 0 = -18 + 9d ⇒ 9d = 18 ⇒ d = = 2. Hence, d = 2. (iii) By formula, a_n = a + (n - 1)d Substituting values we get : ⇒ -5 = a + (18 - 1)(-3) ⇒ -5 = a + 17 × -3 ⇒ -5 = a - 51 ⇒ a = 51 - 5 = 46. Hence, a = 46. (iv) By formula, a_n = a + (n - 1)d Substituting values we get : ⇒ 3.6 = -18.9 + (n - 1)(2.5) ⇒ 3.6 = -18.9 + 2.5n - 2.5 ⇒ 3.6 = 2.5n - 21.4 ⇒ 2.5n = 21.4 + 3.6 ⇒ 2.5n = 25 ⇒ n = = 10. Hence, n = 10. (v) By formula, a_n = a + (n - 1)d Substituting values we get : a_n = 3.5 + 0(105 - 1) = 3.5 + 0 × 104 = 3.5 + 0 = 3.5 Hence, a_n = 3.5

Mathematics

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 --------

AP

Related Questions

Choose the correct choice in the following and justify :
30th term of the A.P. : 10, 7, 4, ….., is
97
77
-77
-87

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

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--------

AP

Related Questions

Choose the correct choice in the following and justify :30th term of the A.P. : 10, 7, 4, ….., is9777-77-87

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 --------

Choose the correct choice in the following and justify :
30th term of the A.P. : 10, 7, 4, ….., is
97
77
-77
-87