Math, asked by sarikaundre50, 8 months ago

If T={5,10,15,20.......} then set t is a/an ................ set

Answers

Answered by pulakmath007
25

SOLUTION

TO FILL IN THE BLANK

If T= { 5,10,15,20.......}

then set T is a/an ................ set

CONCEPT TO BE IMPLEMENTED

SET : A set is a well defined collection of distinct objects

FINITE SET : A set S is said to be finite set if it contains finite number of elements

INFINITE SET : A set S is said to be infinite set if it contains infinite number of elements

EVALUATION

Here the set T is given by

T = { 5, 10 15, 20,......}

The set can be rewritten as

 \sf{T =  \{ \:  5n  :  n \in  \mathbb{N}  \: \}}

Since T contains infinite number of elements

Hence T is an infinite set

FINAL ANSWER

If T = { 5, 10 15, 20,......} the T is an infinite set

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