Answer:
The total earned after 30 days is 465000.
Step-by-step explanation:
The amount of money that I'll recieve can be modelled as a arithmetic sequence in which the next element is related to the prior by a sum of a rate "q". This sequence can be seen below:
{1000, 2000, 3000, ...}
Where q = 1000. In order sum all the "n" terms on a sequence of this kind we can use the following formula:
Sn = (n/2)*(a1 + an)
And to find the term an, we can use the formula:
an = a0 + (n-1)*r
Where n is the position of the number we want to calculate, in this case 30, a0 is the first number on the sequence and r is the rate between consecutive numbers. So the 30th term is:
a30 = 1000 + (30 -1)*1000
a30 = 1000 + 29*1000
a30 = 1000 + 29000 = 30000
And the total obtained is:
s30 = (30/2)*(1000 + 30000) = (30/2)*(31000)
s30 = 930000/2 = 465000
The total earned after 30 days is 465000.
