In this question, we are tasked with identifying whether specific numbers are odd or even. Let's go through each part of the provided sequences to determine the pattern:
(a) 11 12 13:
11 : This is an odd number as it cannot be divided by 2 without a remainder.
12 : This is an even number because it can be divided by 2 evenly (12 ÷ 2 = 6).
13 : This is an odd number similarly to 11, as dividing by 2 gives a remainder.
So, the pattern is: odd, even, odd.
(b) 44 45 46:
44 : Even, since it divides evenly by 2 (44 ÷ 2 = 22).
45 : Odd, because there is a remainder when dividing by 2.
46 : Even, due to being divisible by 2 without remainder (46 ÷ 2 = 23).
The pattern for this set is: even, odd, even.
(c) 100 101 102:
100 : Even, as it divides by 2 perfectly (100 ÷ 2 = 50).
101 : Odd, as it leaves a remainder when divided by 2.
102 : Even, because it is divisible by 2 (102 ÷ 2 = 51).
Thus, the pattern is: even, odd, even.
To summarize, in mathematics, even numbers are those which can be divided by 2 with no remainder, and odd numbers always leave a remainder when divided by 2. This question shows understanding of the basic concept of even and odd numbers.