यदि दो समांतर श्रेणियों के nवें पद 3n + 8 और 7n + 15 हैं तब इनके 12वें पदों का अनुपात क्या होगा?

  1. 4 : 9
  2. 7 : 16
  3. 3 : 7
  4. 8 : 15

Answer (Detailed Solution Below)

Option 1 : 4 : 9
Free
AAI ATC JE Physics Mock Test
6.6 K Users
15 Questions 15 Marks 15 Mins

Detailed Solution

Download Solution PDF

अवधारणा:

यदि a समांतर श्रेणी का पहला पद है और d सार्व अंतर है तो

एक समांतर श्रेणी का nवां निम्न द्वारा दिया जाता है :

an = a + (n - 1) × d

गणना:

दिया हुआ: दो समांतर श्रेणियों के nवें पद 3n + 8 और 7n + 15 हैं।

यहां हमें उनके 12 वें पदों के बीच का अनुपात खोजना होगा।

इसलिए 1ली समांतर श्रेणी में 12वां पद:

(T12)1 = 3 × 12 + 8

⇒ (T12) = 36 + 8 = 44

⇒ (T12) = 44     ---(1)

उसी प्रकार 2री समांतर श्रेणी का 12वां पद:

⇒ (T12)2 = 7 × 12 + 15

⇒ (T12)2 = 84 + 15 = 99   

⇒ (T12) = 99   ----(2)

∴ आवश्यक अनुपात = 44/99 = 4/9 = 4 ∶ 9

Latest AAI JE ATC Updates

Last updated on May 26, 2025

-> AAI ATC exam date 2025 will be notified soon. 

-> AAI JE ATC recruitment 2025 application form has been released at the official website. The last date to apply for AAI ATC recruitment 2025 is May 24, 2025. 

-> AAI JE ATC 2025 notification is released on 4th April 2025, along with the details of application dates, eligibility, and selection process.

-> Total number of 309 vacancies are announced for the AAI JE ATC 2025 recruitment.

-> This exam is going to be conducted for the post of Junior Executive (Air Traffic Control) in Airports Authority of India (AAI).

-> The Selection of the candidates is based on the Computer Based Test, Voice Test and Test for consumption of Psychoactive Substances.

-> The AAI JE ATC Salary 2025 will be in the pay scale of Rs 40,000-3%-1,40,000 (E-1).

-> Candidates can check the AAI JE ATC Previous Year Papers to check the difficulty level of the exam.

-> Applicants can also attend the AAI JE ATC Test Series which helps in the preparation.

More Sequences and Series Questions

Get Free Access Now
Hot Links: teen patti glory teen patti rummy teen patti bodhi teen patti star login teen patti gold downloadable content