Answer:
The world population will reach 10 billion in approximately 70 years.
That would be in the year 2020
Explanation:
The growth rate of the population is in geometric progression.
The formula for the nth term of an arithmetic progression is
ar^(n-1)
Where a is the first term of the sequence.
r = the common ratio(ratio of a term to the previous term)
n = number of terms.
From the information given
n = t = number of years.
a = 2560000000
T1 = 2560000000r^0 = 2560000000
In 1960, the population is 3040000000.
Number of terms = 11 (1950 to 1960)
T11 = 3040000000= 2560000000r^10
r^10 = 3040000000/2560000000
r^10 = 1.1875
Taking 10th root of both sides,
r = 1.01733353775
r = 1.02
When the world population becomes 1 billion, the number of years will be
1000000000= 2560000000 × 1.02^(n-1)
1.02^(n-1) = 1000000000/2560000000 = 3.90625
1.02^(n-1) = 3.90625
1.02^n / 1.02^1 = 3.90625
1.02^n = 1.02 × 3.90625 = 3.984375
1.02^n = 3.99
n = 70
It will reach 10 billion in (1950 + 70 )= 2020