Series
posted by Anonymous .
2(a)Consider the arithmetic progression with terms A3=2 and A12=23. Find the sum of A1+......+A40 (can do)
(b)In 1800 the population of England was 8 million. The economist Malthus (17661834) produced a hypothesis, suggesting:that the population of england would increase, according to a G.P., by 2% per year
that the english agriculture production,able to feed 10 million people in 1800,would improve according to an A.P. to feed an extra 400000 people every year
Po represents the english population in 1800 and Pn that population in the year 1800+n:
(i)express,according to Malthus' hypothesis Pn as a function n.
Ao represents the number of people that the english agriculture production can feed in 1800 and An that number in 1800+n:
(ii)express,according to Malthus' hypothesis,An as a function of n
(iii)Calculate the population of england in 1900 and the number of people that the english agriculture production can feed in 1900
(iv)Determine the year from which the english agriculture can no longer feed the english population according to Malthus' hypothesis(use your calculator by graphing or creating the lists:n=L1;Pn=L2;An=L3 tp compare increases).
Respond to this Question
Similar Questions

Maths  Series
1(a)Glasses are piled upon each other to form a tower.The rows are numbered,beginning with the top row.There is a single glass in the top row,two glasses in row number 2,3 in 3;etc.This continues to the bottom of the tower.A tower … 
Math
2(a)Consider the arithmetic progression with terms A3=2 and A12=23. Find the sum of A1+......+A40 (can do) (b)In 1800 the population of England was 8 million. The economist Malthus (17661834) produced a hypothesis, suggesting:that … 
series
2(a)Consider the arithmetic progression with terms A3=2 and A12=23. Find the sum of A1+......+A40 (can do) (b)In 1800 the population of England was 8 million. The economist Malthus (17661834) produced a hypothesis, suggesting:that … 
maths
1) The first term of arithmetic progression is 20 and the sum of it's term is 250. find it's last term if the number of it's terms is 10 2) Find the fifth term from the arithmetic progression 12, 9, 6 hence find the sum of it's … 
Stats
Which of the following statement is true? 
math
The first, the third and the seventh terms of an increasing arithmetic progression are three consecutive terms of a geometric progression. In the first term of the arithmetic progression is 10 find the common difference of the arithmetic … 
math
An arithmetic progression as the same first and second terms as the geometric progression. Find the sum of the first 20 terms of the arithmetic progression. How do I do this? 
math C2 sequences and series
The eight,fourth and second terms of an arithmetic progression form the first three terms of a geometric series. The arithmetic progression has first term A and common difference d, and the geometric progression has first term G and … 
Series
One sequence of alternating terms of the series 1+2+3+4+5+8+... forms an arithmetic progression, while the other sequence of alternating terms forms a geometric progression. Sum the first 10 terms of each progression and hence find … 
Math
How do we find the sum of n terms of the series, 1+(4/7)+(7/49)+(10/343)+..... I know that it can be written as a combination of an arithmetic and geometric progression. 1=(4+3r)/(7^m) ; (r=1 , m=0) 4/7=(4+3r)/(7^m) ;(r=0,m=1) But …