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The terms of an A.P. are doubled, then the resulting sequence is
  • a)
    An A.P. with common difference equal to the common difference of the original A.P​
  • b)
    An A.P. with common difference thrice the common difference of the original A.P.
  • c)
    An A.P. with common difference double the common difference of the original A.P.
  • d)
    An A.P. with common difference half the common difference of the original A.P.
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The terms of an A.P. are doubled, then the resulting sequence isa)An A...
The general form of an AP is  a,  a+d, a+2d,.....
where a is the first term and d is the common difference  
If we double the terms,  the new sequence would be
A , a+2d, a+4d,......
We can observe that this sequence is also an AP
First term is a
Common difference is 2d  nth term= 2a+(n-1)2d               
= 2[a+(n-1)d]
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Most Upvoted Answer
The terms of an A.P. are doubled, then the resulting sequence isa)An A...
Let us consider A.P
1,3,5,7
here common difference is 2
now double the terms...we get
2,6,10,14
now the common difference is 4
we can clearly see that the common difference is doubled ..so option c is right answer
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The terms of an A.P. are doubled, then the resulting sequence isa)An A...
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The terms of an A.P. are doubled, then the resulting sequence isa)An A.P. with common difference equal to the common difference of the original A.P​b)An A.P. with common difference thrice the common difference of the original A.P.c)An A.P. with common difference double the common difference of the original A.P.d)An A.P. with common difference half the common difference of the original A.P.Correct answer is option 'C'. Can you explain this answer?
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The terms of an A.P. are doubled, then the resulting sequence isa)An A.P. with common difference equal to the common difference of the original A.P​b)An A.P. with common difference thrice the common difference of the original A.P.c)An A.P. with common difference double the common difference of the original A.P.d)An A.P. with common difference half the common difference of the original A.P.Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The terms of an A.P. are doubled, then the resulting sequence isa)An A.P. with common difference equal to the common difference of the original A.P​b)An A.P. with common difference thrice the common difference of the original A.P.c)An A.P. with common difference double the common difference of the original A.P.d)An A.P. with common difference half the common difference of the original A.P.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The terms of an A.P. are doubled, then the resulting sequence isa)An A.P. with common difference equal to the common difference of the original A.P​b)An A.P. with common difference thrice the common difference of the original A.P.c)An A.P. with common difference double the common difference of the original A.P.d)An A.P. with common difference half the common difference of the original A.P.Correct answer is option 'C'. Can you explain this answer?.
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