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In which of the following situations, do...

In which of the following situations, does the list of numbers involved form an arithmetic progression, and why?
(i) The taxi fare after each km fare is 15 for the first km Rs.8 for each additional km.
(ii) The amount of air present in a cylinder when a vacuum pump removes 1/4 of the air remaining in the cylinder at a time.
(iii) The cost of digging a well, after every metre of digging, when it costs 150 for the first metre and rises by 50 for each subsequent metre.
(iv) The amount of money in the account every year, when 10000 is deposited at compound interest at 8 % per annum.

Text Solution

Verified by Experts

The correct Answer is:
(i) AP, (ii) Not AP, (iii) AP, (iv) Not AP
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Knowledge Check

  • The amount of air inspired or expired with each normal breath is called the

    A
    residual volume
    B
    inspiratory reserve volume
    C
    dead space
    D
    tidal volume

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    `4551`
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    C
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    D
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  • The first term of an arithmetic progression is unity and the common difference is 4. Which of the following will be a term of this A.P

    A
    4551
    B
    10091
    C
    7881
    D
    13531

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