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

4) The amount of money in the account every year , when Rs.10,000 is deposited at compound interest at 8%/annum.

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Solution

The above case donot from an arithmetic progression.
In first year 8% of 10000 interest is added.Which is 800rs.
In second year 8% of 10800 is added as interest. Which is 864rs.
In third year 8% of 11664 rs is added as interest which is 933.12 rs

If the above case was that of an arithmetic progression then the difference of money in 2nd and 1st year would be same as that of the difference in 3rd and second year.
Here the difference in money in first and second year = 800 rs
Differnce in money in 3rd and 2nd year = 864 rs.
And so on. So this isn't an arithmetic progression

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Similar questions

Question 1 (iv)
In which of the following situations does the list of numbers involved make an arithmetic progression and why?
(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 an arithmetic progression, and why?
(i) The taxi fare after each $k m$ when the fare is $R s .15$ for the first $k m$ and $R s .8$ for each additional $k m$ .
(ii) The amount of air present in a cylinder when a vacuum pump removes $\frac{1}{4}$ 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 $R s .150$ for the first metre and rises by $R s .50$ for each subsequent metre.
(iv) The amount of money in the account every year, when $R s .10000$ is deposited at compound interest at $8 %$ per annum.

In which of the following situations, does the list of numbers involved make as 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 each additional km.

(ii) The amount of air present in a cylinder when a vacuum pump removes 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.

Q. Question 7 (iii)
In which of the following situations, do the lists of numbers involved form an AP? Give reasons for your answers.
The amount of money in the account of Varun at the end of every year when Rs. 1000 is deposited at simple interest of

10 %

per annum.

Q. The amount of money in the account every year, when

R s 10000

is deposited at compound interset at

8 %

per annum.

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In which of the following situations , does the list of numbers involved make an arithmetic progression , and why? 4) The amount of money in the account every year , when Rs.10,000 is deposited at compound interest at 8%/annum.

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

4) The amount of money in the account every year , when Rs.10,000 is deposited at compound interest at 8%/annum.