Question
Download Solution PDFएक G. P का चौथा पद 8 और दसवां पद 27 है। तो इसका छठा पद क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFधारणा:
हम मानते हैं कि अनुक्रम a1, a2, a3 …. an एक G.P. है
- सार्व अनुपात = r =
- G.P. का nवां पद है = arn−1
- n पदों का योग = s =
; जहाँ r >1 - n पदों का योग = s =
; जहाँ r <1
गणना:
दिया हुआ:
एक G. P का चौथा पद 8 और दसवां पद 27 है
G.P. का nवां पद Tn = a rn-1 है
∴ T4 = a. r3 = 8 ----(1)
T10 = a r9 = 27 ----(2)
समीकरण (2) ÷ (1), हमें मिलता
∴
T6 = a r5
= a r3.r2
= 12
Last updated on Jul 8, 2025
->UPSC NDA Application Correction Window is open from 7th July to 9th July 2025.
->UPSC had extended the UPSC NDA 2 Registration Date till 20th June 2025.
-> A total of 406 vacancies have been announced for NDA 2 Exam 2025.
->The NDA exam date 2025 has been announced. The written examination will be held on 14th September 2025.
-> The selection process for the NDA exam includes a Written Exam and SSB Interview.
-> Candidates who get successful selection under UPSC NDA will get a salary range between Rs. 15,600 to Rs. 39,100.
-> Candidates must go through the NDA previous year question paper. Attempting the NDA mock test is also essential.