Quant Exam  >  Quant Questions  >  If the sum of the first 2n terms of the AP 2,... Start Learning for Free
If the sum of the first 2n terms of the AP 2, 5, 8... is equal to the sum of first n terms of the AP 57, 59, 6 . . . , then what is the value of nl
  • a)
    7
  • b)
    9
  • c)
    11
  • d)
    13
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If the sum of the first 2n terms of the AP 2, 5, 8... is equal to the ...
View all questions of this test
Most Upvoted Answer
If the sum of the first 2n terms of the AP 2, 5, 8... is equal to the ...
Given, the sum of the first 2n terms of the AP 2, 5, 8... is equal to the sum of first n terms of the AP 57, 59, 61...

Let the nth term of the first AP be a and the common difference be d. Therefore,

First AP: a = 2, d = 3

The sum of the first 2n terms of the first AP is given by:

S1 = n/2[2a + (2n - 1)d]
S1 = n/2[2(2) + (2n - 1)3]
S1 = 3n^2

Let the nth term of the second AP be b and the common difference be c. Therefore,

Second AP: b = 57, c = 2

The sum of the first n terms of the second AP is given by:

S2 = n/2[2b + (n - 1)c]
S2 = n/2[2(57) + (n - 1)2]
S2 = 29n + n^2

According to the question, S1 = S2

3n^2 = 29n + n^2
2n^2 - 29n = 0
n(2n - 29) = 0

n = 0 or n = 29/2

Since n cannot be 0, we get n = 29/2 which is not an integer.

Therefore, there is no solution for n and the question is incorrect.

Hence, the correct answer cannot be determined.
Explore Courses for Quant exam
If the sum of the first 2n terms of the AP 2, 5, 8... is equal to the sum of first n terms of the AP 57, 59,6 . . . , then what is the value of nla)7b)9c)11d)13Correct answer is option 'C'. Can you explain this answer?
Question Description
If the sum of the first 2n terms of the AP 2, 5, 8... is equal to the sum of first n terms of the AP 57, 59,6 . . . , then what is the value of nla)7b)9c)11d)13Correct answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about If the sum of the first 2n terms of the AP 2, 5, 8... is equal to the sum of first n terms of the AP 57, 59,6 . . . , then what is the value of nla)7b)9c)11d)13Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the sum of the first 2n terms of the AP 2, 5, 8... is equal to the sum of first n terms of the AP 57, 59,6 . . . , then what is the value of nla)7b)9c)11d)13Correct answer is option 'C'. Can you explain this answer?.
Solutions for If the sum of the first 2n terms of the AP 2, 5, 8... is equal to the sum of first n terms of the AP 57, 59,6 . . . , then what is the value of nla)7b)9c)11d)13Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant. Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of If the sum of the first 2n terms of the AP 2, 5, 8... is equal to the sum of first n terms of the AP 57, 59,6 . . . , then what is the value of nla)7b)9c)11d)13Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If the sum of the first 2n terms of the AP 2, 5, 8... is equal to the sum of first n terms of the AP 57, 59,6 . . . , then what is the value of nla)7b)9c)11d)13Correct answer is option 'C'. Can you explain this answer?, a detailed solution for If the sum of the first 2n terms of the AP 2, 5, 8... is equal to the sum of first n terms of the AP 57, 59,6 . . . , then what is the value of nla)7b)9c)11d)13Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of If the sum of the first 2n terms of the AP 2, 5, 8... is equal to the sum of first n terms of the AP 57, 59,6 . . . , then what is the value of nla)7b)9c)11d)13Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If the sum of the first 2n terms of the AP 2, 5, 8... is equal to the sum of first n terms of the AP 57, 59,6 . . . , then what is the value of nla)7b)9c)11d)13Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Quant tests.
Explore Courses for Quant exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev