Question

Compare the total number of deaths due to skin cancer expected between 2000 and 2050, if the progression were geometric and if the progression were arithmetic.

Answer 1

The total number of deaths in a geometric sequence is much much greater compared to the total number of deaths in an arithmetic sequence. In 50 years, the sum of a geometric series is incomparable to an arithmetic series. This can be calculated using the formulas for a geometric sequence.

Answer 2

Explanation:

If total number of deaths per year is progressive with arithmetic pattern then sum of n terms

`S_n =(n)/(2) [2a+(n-1)d]`, where a is artithmetic series I term and d is the common difference.

If geometric the sum of

`S_n = (a(r^n-1)/(r-1)`

where r is the geometric ratio.

Whenever r >1 we find that geometric progression's sum would be far greater than arithmetic sum

But if r <1, the reverse will happen.