Work out the balance for £4500 invested for 2 years at 4% per annum

This situation can be represented by a geometric sequence, where each term is the balance each successive year:

Un = the balance on the nth year

a = intial balance

r = multiplier

n = number of years

From the information:

a = 4500

r = 1.04

(4% increase per annum is the equivalent of multiplying by 1.04 so the multiplier is 1.04)

n = 2

So:

The balanc after two years is: £4867.20

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x