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All the terms in A.P., whose first term is a and common difference d are squared. A different series is thus formed. This series is a
  • a)
    H.P.
  • b)
    G.P.
  • c)
    A.P.
  • d)
    none of these
Correct answer is option 'D'. Can you explain this answer?
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All the terms in A.P., whose first term is a and common difference d a...
Given: A.P. with first term a and common difference d

To find: The new series formed by squaring all the terms

Solution:

Let the original A.P. be a, a+d, a+2d, a+3d, ....

Squaring each term, we get a^2, (a+d)^2, (a+2d)^2, (a+3d)^2, ...

Expanding the squares, we get a^2, a^2+2ad+d^2, a^2+4ad+4d^2, a^2+6ad+9d^2, ...

Notice that the differences between consecutive terms in this new series are not constant. Therefore, it is not an A.P., G.P., or H.P.

Hence, the correct answer is option D, none of these.
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All the terms in A.P., whose first term is a and common difference d are squared. A different series is thus formed. This series is aa)H.P.b)G.P.c)A.P.d)none of theseCorrect answer is option 'D'. Can you explain this answer?
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All the terms in A.P., whose first term is a and common difference d are squared. A different series is thus formed. This series is aa)H.P.b)G.P.c)A.P.d)none of theseCorrect answer is option 'D'. 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 All the terms in A.P., whose first term is a and common difference d are squared. A different series is thus formed. This series is aa)H.P.b)G.P.c)A.P.d)none of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for All the terms in A.P., whose first term is a and common difference d are squared. A different series is thus formed. This series is aa)H.P.b)G.P.c)A.P.d)none of theseCorrect answer is option 'D'. Can you explain this answer?.
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