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If 3n is an odd number, which of the following is an even number?

(a) 3n-1
(b) 3n+2
(c) 3n-2
(d) 3n +2n

User Scabbage
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4.9k points

1 Answer

6 votes

Answer:

Option (a).

Explanation:

It is given that 3n is an odd number.

We need to find an even number from the given options.

Even numbers: Which are divisible by 2.

Odd numbers: Which are not divisible by 2.

We need know that the numbers are alternatively even and odd.

If we add or subtract 1 from an odd number, we always get an even number.

If we add or subtract 2 from an odd number, we always get an odd number.

3n is an odd number. So,

3n-1 is an odd number.

3n+2 is an even number.

3n+2 is an even number.

3n+2n is an even number because 2n is an even number and sum of two even numbers in always an even number.

Therefore, the correct option is (a).

User Abaza
by
5.6k points
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