## Use set-builder notation to write the following sets whose elements are terms of arithmetic sequence A. (2,4,6,8,10,-.)

Question

Use set-builder notation to write the following sets whose elements are terms of arithmetic sequence
A. (2,4,6,8,10,…..)
B. ( 1,3,5,7,….)

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1 week 2021-09-09T14:27:56+00:00 1 Answer 0

A. B. Step-by-step explanation:

Set builder form is a form that defines the domain.

A.

The given arithmetic sequence is

2,4,6,8,10,…..

Here all terms are even numbers. The first term is 2 and the common difference is 2.

All the elements are multiple of 2. So, the elements are defined as 2x where x is a non zero positive integer.

The set of all 2x such that x is an integer greater than 0. Therefore the set builder form of given elements is .

B.

The given arithmetic sequence is

1,3,5,7,….

Here all terms are odd numbers. The first term is 1 and the common difference is 2.

All the elements are 1 less than twice of an integer. So, the elements are defined as 2x-1 where x is a non zero positive integer.

The set of all 2x-1 such that x is an integer greater than 0. Therefore the set builder form of given elements is .