AIOU 4431 Solved Assignment 2 | Pre-Calculus / Business Mathematics (Updated 2026)

Allama Iqbal Open University
Course Code: 4431
Pre-Calculus / Business Mathematics


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1

,Q No: 1(a)
Assuming the numbers 1, 4 and 3 are deducted from three
successive terms of a math movement, the subsequent numbers
are in mathematical movement. Track down the numbers on the
off chance that their aggregate is 21.
Answer:
Let's denote the three consecutive terms of the arithmetic progression
(AP) as and where is the middle term and is the common
difference.

According to the problem, subtracting 1, 4, and 3 from these three consecutive
terms results in a geometric progression (GP). So, the new numbers are:

( ) , ( )

These three terms are in geometric progression. For three terms x, y, and z to be
in geometric progression, the relationship must hold. Therefore, we
have:

( ) ( ) ( )

Simplifying the equation:

Expand the left-hand side:
( ) ( ) ( )( ) ( )

( ) ( )

( )




2

, Expand the right-hand side:
( )

Now, equate the expanded forms:

( )



Cancel out from both sides:

( )

Rearrange the terms:

( )

Factorize the equation:

( )

Find and by using a simpler calculation method.

We know the sum of the terms is 21:

( )
So,


Now, substitute into the previous GP equation:

( )( ) ( )

( )( )

Expand and solve:




Multiply the whole equation by -1:

3