Answer: $1387800
Step-by-step explanation:
This is an sum of Arithmetic Progression with the formula
Sum of nth term
Sn = n/2( a + l ) --------------- 1
where l = a + ( n - 1 )d -------2
Now put (2) in 1
Sn = n/2{( a + a + (n - 1)d}
= n/2{( 2a + ( n -1 )d}
From the question
a = $5,4000 ( firs term )
d = 3% of $5,4000 ( common difference ), n = 20 years. Solution to question one therefore is.
First find 3% of $54000 = $1620, so the geometric series is
Sn = n/2{(2a + ( n - 1 )d
Second solution is substitution,
Sn. = 20/2 {(2 x 54000 + (20 -1)1620)}
= 10{ 108000 + 19 x 1620}
= 10{ 108000 + 30780 }
= 10{ 138780 }
= 1387800
Therefore, the total emoluments of Rylee for the past 20 years
= $1387800
