Evenly Spaced Sets GMAT

Hi I want some notes on the Evenly-Spaced Sets & Consecutive Integers for the GMAT exam so if you are having the please provide me so I can have an idea??

[Rajkumar Agarwal]

Well below I have given you the Evenly-Spaced Sets & Consecutive Integers for the GMAT exam so you can have a look

[B]Important Properties Evenly-Spaced Sets & Consecutive Integers

Background:[/B]

Consecutive Integers are evenly-spaced sets – their values go up or down by the same
amount (the increment) from one item in the sequence to the next.

Evenly-spaced sets have special properties that are tested on the GMAT.

Consecutive Multiples: all values in the set are multiples of the increment. e.g.
{12,16,20,24} is a set of consecutive multiples because the values increase from one to
the next by 4, and each element is a multiple of 4.

All sets of consecutive integers are sets of consecutive multiples.

All sets of consecutive multiples are evenly-spaced sets.

All evenly spaced sets are defined if these 3 things are known: 1) The smallest or largest
number in the set. 2) the increment. 3) the number of items in the set.

[B]Properties[/B]

Consecutive Integers alternate between even and odd: e.g. 9,10,11,12,13,14 (O,E,O,E,O,E)

The Arithmetic Mean (ave.) and median are equal in evenly-spaced sets

Mean and median of the set are equal to the average of the FIRST and LAST terms in the set.

i.e. Ave. = (First + Last) / 2

Sum of the elements in the set equals the arithmetic mean (ave.) number in the set times
the number of items in the set.

e.g. Sum = Ave. x N (where N is the number of items)