JEE Exam > JEE Questions > The mean of the first n terms of the A.P. (a ...
Start Learning for Free
The mean of the first n terms of the A.P. (a + d) + (a + 3d) + (a + 5d) +………..is
- a)
- b)a + n2d
- c)a + nd
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The mean of the first n terms of the A.P. (a + d) + (a + 3d) + (a + 5d...
The given arithmetic progression (AP) is:
(a+d),(a+3d),(a+5d),…
This sequence has a common difference of 2d.
Step 1: General term
The n-th term of this AP is given by:
Tn =a+(2n−1)d
Step 2: Sum of the first n terms
The sum of the first n terms of an AP is:
Here: First term = a+d
Last term = Tn =a+(2n−1)d
Simplify the terms:
Step 3: Mean of the first n terms
The mean of the first n terms is:
Substitute Sn:
(a+d),(a+3d),(a+5d),…
This sequence has a common difference of 2d.
Step 1: General term
The n-th term of this AP is given by:
Tn =a+(2n−1)d
Step 2: Sum of the first n terms
The sum of the first n terms of an AP is:
Here: First term = a+d
Last term = Tn =a+(2n−1)d
Simplify the terms:
Step 3: Mean of the first n terms
The mean of the first n terms is:
Substitute Sn:
Most Upvoted Answer
The mean of the first n terms of the A.P. (a + d) + (a + 3d) + (a + 5d...
Free Test
FREE
| Start Free Test |
Community Answer
The mean of the first n terms of the A.P. (a + d) + (a + 3d) + (a + 5d...
C
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
The mean of the first n terms of the A.P. (a + d) + (a + 3d) + (a + 5d) +………..isa)b)a + n2dc)a + ndd)none of theseCorrect answer is option 'C'. Can you explain this answer?
Question Description
The mean of the first n terms of the A.P. (a + d) + (a + 3d) + (a + 5d) +………..isa)b)a + n2dc)a + ndd)none of theseCorrect answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The mean of the first n terms of the A.P. (a + d) + (a + 3d) + (a + 5d) +………..isa)b)a + n2dc)a + ndd)none of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The mean of the first n terms of the A.P. (a + d) + (a + 3d) + (a + 5d) +………..isa)b)a + n2dc)a + ndd)none of theseCorrect answer is option 'C'. Can you explain this answer?.
The mean of the first n terms of the A.P. (a + d) + (a + 3d) + (a + 5d) +………..isa)b)a + n2dc)a + ndd)none of theseCorrect answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The mean of the first n terms of the A.P. (a + d) + (a + 3d) + (a + 5d) +………..isa)b)a + n2dc)a + ndd)none of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The mean of the first n terms of the A.P. (a + d) + (a + 3d) + (a + 5d) +………..isa)b)a + n2dc)a + ndd)none of theseCorrect answer is option 'C'. Can you explain this answer?.
Solutions for The mean of the first n terms of the A.P. (a + d) + (a + 3d) + (a + 5d) +………..isa)b)a + n2dc)a + ndd)none of theseCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of The mean of the first n terms of the A.P. (a + d) + (a + 3d) + (a + 5d) +………..isa)b)a + n2dc)a + ndd)none of theseCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The mean of the first n terms of the A.P. (a + d) + (a + 3d) + (a + 5d) +………..isa)b)a + n2dc)a + ndd)none of theseCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for The mean of the first n terms of the A.P. (a + d) + (a + 3d) + (a + 5d) +………..isa)b)a + n2dc)a + ndd)none of theseCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of The mean of the first n terms of the A.P. (a + d) + (a + 3d) + (a + 5d) +………..isa)b)a + n2dc)a + ndd)none of theseCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The mean of the first n terms of the A.P. (a + d) + (a + 3d) + (a + 5d) +………..isa)b)a + n2dc)a + ndd)none of theseCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup