the amount of money in the account every year when rupees 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
Answers
From the given data the taxi fare
are 20 ,28 , 36 ,...
first term ( a1 ) = 20 ,
second term ( a2 ) = 28 ,
a3 = 36 ,
a2 - a1 = 28 - 20 = 8
a3 - a2 = 36 - 28 = 8
Therefore ,
The difference of fare each kilometre
is same .
So , given data is an A.P
ii ) Let the amount of air present
in a cylinder is x .
From the given data the air present
in the cylinder is x , x/4 , x/16 , x/64 ,..
first term ( a1 ) = x ,
a2 = x/4 ,
a3 = x/16 ,
a4 = x/64 ,
a2 - a1 = x/4 - x = -3x/4
a3 - a2 = x/16 - x/4 = -3x/16
Therefore ,
a2 - a1 ≠ a3 - a2
So , the given data is not in A.P
iii ) From the given data cost of
digging a well is 150 ,200 ,250 , 300,..
a1 = 150 ,
a2 = 200 ,
a3 = 250 ,
a2 - a1 = 200 - 150 = 50 ,
a3 - a2 = 250 - 200 = 50
Therefore ,
a2 - a1 = a3 - a2
So, the given data is in A.P
iv )No , it's not , as the difference of
interest I another same for the
consecutive years.
I hope this helps you.
Answer:
Step-by-step explanation:
