2 years ago

Find card(B) given that B={1,3,5,7,9,….9907}

Mathematics

1 answer:

Shkiper50 [21]2 years ago

4 0

The value of card(B) is card(B) = 4954

<h3>How to determine the card(B)?</h3>

The set is given as:

B={1,3,5,7,9,….9907}

The above set is the set of odd numbers from 1 to 9907.

The number of elements is the cardinality

And it can be calculated using

L = a + (n - 1)d

Where

L = 9907

a = 1

d = 2

So, we have:

9907 = 1 + (n - 1)2

Subtract 1 from both sides

9906 = (n - 1)2

Divide by 2

n - 1 = 4953

Add 1 to both sides

n = 4954

This means that

card(B) = 4954

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