Q7 of 176 Page 9

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

Number of pairs of rabbits in successive months when the pair of rabbits is too young to produce in their first month. In the second month and every subsequent month, they produce a new pair. Each new pair of rabbits pr a new pair in their second months and every subsequent month (see Fig.) (assume that no rabbit dies).


Assuming that no rabbit dies,


the number of pairs of rabbits at the start of the 1st month = 1


the number of pairs of rabbits at the start of the 2nd month = 1


the number of pairs of rabbits at the start of the 3rd month = 2


the number of pairs of rabbits at the start of the 4th month = 3


the number of pairs of rabbits at the start of the 5th month = 5


Therefore, the series is


1, 1, 2, 3, 5, 8,…


Difference between 2nd and 1st term = 1 – 1 = 0


Difference between 3rd and 2nd term = 2 – 1 = 1


Since, the difference is not same.


Therefore, the number of pair of rabbits in successive months are 1,1,2,3,5,8,… and they don’t form an AP.


More from this chapter

All 176 →
7

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

The amount of money in the account every year when Rs. 10000 is deposited at compound interest 8% per annum.

 7

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

The money saved by Sudha in successive years when she saves Rs. 100 the first year and increased the amount by Rs. 50 every year.

 7

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

The values of an investment after 1, 2, 3, 4, ... years if after each subsequent year it increases by 5/4 times the initial investment.

 1

Find the indicated terms in each of the following arithmetic progression:

1, 6, 11, 16, ..., t16,