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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 when the fare is Rs 15 for the first km and Rs 8 for additional km.
(ii) The amount of air present in a cylinder when a vacuum pump removes `(1/4)^(th)` 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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In which of the following situations, does the list of numbers involved make an arithmetic progression, and why? (i) The taxi fare after each km when the fare is Rs 15 for the first km and Rs8 for each additional km. (ii) The additional of air present in a cylinder when a vaccum 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 Rs 150 for the first metre and rises by Rs 50 for each subsequent metre. (iv) The amount of money in the account every year, when Rs 10000 is deposited at compound interest at 8% per annum.

In which of the following situations, does the list of numbers involved make arithmetic progression, and why ? The taxi fare after each km when fare is Rs. 15 for the first km and Rs.8 for each additional km.

Knowledge Check

  • If the nth term of an Arithmetic progression is 4n^(2)-1 , then the 8^(th) term is.

    A
    32
    B
    31
    C
    256
    D
    255

  • If the n-th term of an arithmetic progression is 5n+3 , then 3rd term of the arithmetic progression is

    A
    11
    B
    18
    C
    12
    D
    13

  • If the n-th term of an arithmetic progression is 5n+3 , then 3rd term of the arithmetic progression is

    A
    11
    B
    18
    C
    12
    D
    13

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    In which of the following situations, does the list of numbers involved make arithmetic progression, and why ? 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.

    In which of the following situations, does the list of numbers involved make arithmetic progression, and why ? The amount of money in the account every year, when Rs.10,000 is deposited at compound interest at 8% per annum.

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