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Arithmetic Progressions

Question
CBSEENMA10007408

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

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

Solution
Amount of money after 1 year
= Rs. 1000 WiredFaculty
Amount of money after2 years
= Rs. 10000 open parentheses 1 plus 8 over 100 close parentheses squared equals straight a subscript 2
Amount of money after 3 years
= Rs. 10000 open parentheses 1 plus 8 over 100 close parentheses cubed equals straight a subscript 3
Amount of money after 4 years
= Rs. 1000 WiredFaculty
a2 - a1 = Rs. 10000  open parentheses 1 plus 8 over 100 close parentheses squared minus space Rs. space 1000 space open parentheses 1 plus 8 over 100 close parentheses
WiredFaculty
As a2 – a4 ≠ a1– a2, this list of numbers does not form in A .P.