What will be the maximum sum of 72, 69, 66, ……?

Here's some information about arithmetic progressions (APs):  An AP is a sequence of numbers where the difference between any two consecutive numbers is constant.  Each term in an AP is derived from the preceding term by adding or subtracting a fixed number called the common difference.  The general form of an AP is \(a,a+d,a+2d,a+3d,...\).  The formula for the nth term of an AP is \(a=a+(n-1)\times d\).  The formula for the sum of the first n terms of an AP is \(S=n/2(2a+(n-1)\times d)\).  There are two main types of APs: Finite AP: An AP with a finite number of terms and a last... Show more

Here's some information about arithmetic progressions (APs): 
An AP is a sequence of numbers where the difference between any two consecutive numbers is constant. 
Each term in an AP is derived from the preceding term by adding or subtracting a fixed number called the common difference. 
The general form of an AP is \(a,a+d,a+2d,a+3d,...\). 
The formula for the nth term of an AP is \(a=a+(n-1)\times d\). 
The formula for the sum of the first n terms of an AP is \(S=n/2(2a+(n-1)\times d)\). 

There are two main types of APs:

Finite AP: An AP with a finite number of terms and a last term. 
Infinite AP: An AP with an infinite number of terms and no last term.

Show less