Question

What is the difference between

Answer 1

The difference between the summation functions is 0

Using the functions given

For the first summation ;

• 2i + 1

For i = 1 to i = 4

substitute i = 1 up to 4 into the function;

2(1) + 1 = 3

2(2) + 1 = 5

2(3) + 1 = 7

2(4) + 1 = 9

The Sum

• 3 + 5 + 7 + 9 = 24

For the second summation ;

• 2n + 1

For n = 1 to n = 4

Substituting the values of n from 1 up to 4 into the function;

2(1) + 1 = 3

2(2) + 1 = 5

2(3) + 1 = 7

2(4) + 1 = 9

The Sum is

• 3 + 5 + 7 + 9 = 24

The Difference between the functions is :

• 24 - 24 = 0