Assume that the population of the world in 2002 was 6.2 billion and is growing at the rate of 1.3% a years.
(a) Set up a recurrence relation for the population of the world n years after 2002.

(b) Find an explicit formula for the population of the world n years after 2002.

(c) what will the population of the world be in 2022?

2. Hello, bhuvan!

Assume that the population of the world in 2002 was 6.2 billion
and is growing at the rate of 1.3% a years.

(a) Set up a recurrence relation for the population of the world $n$ years after 2002.

$P_o \:=\:6.2$
billion

$P_n \;=\;1.013\!\cdot\!P_{n-1}$

(b) Find an explicit formula for the population of the world n years after 2002.

$P(n) \;=\;6.2(1.013)^n$
billion

(c) What will the population of the world be in 2022?

When $t = 20\!:\;\;P(20) \;=\;6.2(1.013)^{20} \;\approx\;8.0275$
billion
.

3. Thank You !!