Write an algorithm to find the sum of the following series: a) 1+x+x^2+x^3+...+x^20
b) 1-x+x^2-x^3+...+x^20
c) 1+x/2+(x²)/3+(x^3)/4+...+(x^20)/21

The algorithm is as follows:

Input x

sum_a = 0

sum_b = 0

sum_c = 0

for i = 0 to 20

   sum_a = sum_a + x^i

   sum_b = sum_b + (-x)^i

   sum_c = sum_c + x^i/(i+1)

print sum_a, sum_b, sum_c

Explanation:

Required

An algorithm to solve (a), (b) and (c)

For Series (a):

This series is a geometric progression and the common ratio is x

i.e.

So, the sum of the series is:

Sum = Previous Sums + x^i --- where i is between 0 and 20 (inclusive)

For Series (b):

This series is a geometric progression and the common ratio is -x

i.e.

So, the sum of the series is:

Sum = Previous Sums + (-x^i) --- where i is between 0 and 20 (inclusive)

For Series (c):

This series is a neither arithmetic nor geometric progression.

It obeys the following rule:

 --- where i is between 0 and 20 (inclusive)

So, the sum of the series is:

Sum = Previous Sums +

answer; i believe its compare (b3: b4) ;

if you suspect that your immediate supervisor, department manager, or company is engaging in something unlawful you must do your best to end the misconduct immediately while also protecting yourself, your livelihood, and your family’s future.