Which term of the A.P. 4, 9, 14, 19 … is 289?1. 582. 603. 404. 45

1.	Which term of the A.P. 4, 9, 14, 19 … is 289?1. 582. 603. 404. 45
Answer» Correct Answer - Option 1 : 58 CONCEPT: The nth term an of the AP with first term a and common difference d is given by an = a + (n – 1) d. CALCULATION : Given A.P = 4, 9, 14, . . . Here, first term a = 4 and common difference d = 5. Let consider 289 be the n^th term of the given A.P. Then we have, ⇒ a_n = 289 ⇒ a + (n-1) d = 289 ⇒ 4 + (n-1) x 5 = 289 ⇒ (n-1) x 5 = 289 – 4 On, Solving we get, ⇒ n - 1 = 57 ⇒ n = 57 + 1 ⇒ n = 58 Hence, option (1) is the correct answer.

Answer» Correct Answer - Option 1 : 58

CONCEPT:

The nth term an of the AP with first term a and common difference d is given by an = a + (n – 1) d.

CALCULATION :

Given A.P = 4, 9, 14, . . .

Here, first term a = 4 and common difference d = 5.

Let consider 289 be the n^th term of the given A.P. Then we have,

⇒ a_n = 289

⇒ a + (n-1) d = 289

⇒ 4 + (n-1) x 5 = 289

⇒ (n-1) x 5 = 289 – 4

On, Solving we get,

⇒ n - 1 = 57

⇒ n = 57 + 1

⇒ n = 58

Hence, option (1) is the correct answer.

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Which term of the A.P. 4, 9, 14, 19 … is 289?1. 582. 603. 404. 45

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