Question

16.
The sum of two consecutive odd numbers is divisible by 4. Verify this statement with examples

Answer 1

Answer:

3 +5 =8

wwhich is divisible by 4

Answer 2

Answer:

Yes

Step-by-step explanation:

Let us find some consecutive odd numbers

1+3=4

3+5=8

5+7=12

7+9=16

13+15=18

31+33=64

101+103=204

123+125=248

Let check these numbers are divisible by 4

If a number is divisible by 4, its last digit must divisible by 4

Here last digits are:

4,8,12,16......

So the numbers are divisible by 4

Therefore , the sum of two consecutive odd numbers are divisible by 4.

HENCE PROVED

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