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We are given an A.P. with Ist terma and ...

We are given an A.P. with Ist terma and common difference d.
(i) If each of its terms is increased by the same quantity k, is the resulting progression also an A.P.? If so find its common difference.
(ii) If each of the terms is multiplied by the same number c. is the resulting progresssion also an A.P. ? If so, find its common difference.

Text Solution

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The correct Answer is:
(i) Yes; d (ii) Yes; cd
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Knowledge Check

  • The nth term of an AP is (3n +5). Find its common difference.

    A
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    C
    9
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    A
    `2n(n-1)`
    B
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    C
    `2n(n-1)`
    D
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