Average Of Numbers - Shortcut Methods

 

Average of consecutive n natural numbers

average shortcuts

Example

Find average of consecutive 10 natural numbers.

Sol:

10 Consecutive natural numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

 

 

Average of square of consecutive n natural numbers.

Example

Find average of square of consecutive 5 natural numbers.

Sol:

Consecutive five natural numbers are 1, 2, 3, 4, 5.

 

 

Average of cubes of consecutive n natural numbers.

Example

Find average of cubes of consecutive 5 natural numbers

Sol:

Consecutive five natural numbers are 1, 2, 3, 4, 5.

 

 

Average of n consecutive even numbers.

Average = n + 1

Example

Find average of 6 consecutive even numbers

Sol:

Six consecutive even numbers are 2, 4, 6, 8, 10, 12

Average = 6 + 1 = 7

 

 

Average of consecutive even numbers till n.

Example

Find average of consecutive even numbers till 6

Sol:

Consecutive even numbers till 6 are 2, 4, 6

 

 

Average of square of n consecutive even numbers.

Example

Find average of square of 5 consecutive even numbers.

Sol:

Five consecutive even numbers are 2, 4, 6, 8, 10

 

 

Average of square of consecutive even numbers till n.

Example

Find average of square of consecutive even numbers till 4

Sol:

Consecutive even numbers till 4 are 2, 4

 

 

Average of n consecutive odd numbers.

Average = n

Example

Find average of 10 consecutive odd numbers.

Sol:

10 consecutive odd numbers are 1, 3, 5, 7, 9, 11, 13, 15, 17, 19.

Average = 10

 

 

Average of consecutive odd numbers till n.

Example

Find average of consecutive odd numbers till 9

Sol:

Consecutive odd numbers till 9 are 1, 3, 5, 7, 9.

 

 

Average of square of consecutive odd numbers till n.

Example

Find average of square of consecutive odd numbers till 5

Sol:

Consecutive odd numbers till 5 are 1, 3, 5.