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Binomial Theorem for Any Index

State true or...

Question

State true or false:
(ii) The sum of two odd numbers is an even number.

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Solution

(ii) Sum of two odd numbers is an even number.
Let us consider two odd numbers 1 and 3.
So,
$1 + 3 = 4$ ,
The sum is 4 which is an even number.
Let us consider two odd numbers 3 and 5.
So,
$3 + 5 = 8$
The sum is 8 which is an even number.
Hence, the sum of two odd numbers is always an even number.
So, the statement is true.

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