Answer :

i) Sequence of odd numbers


Odd numbers are those which are not divisible by 2


i.e. 1,3,5,7…


As, can be seen from the above sequence, it is an Arithmetic Progression.


Common difference = 3-1 = 5-3 = 2


ii) Sequence of even numbers


Even numbers are those which are divisible by 2


I.e. 2,4,6…


As, can be seen from the above sequence, it is an Arithmetic Progression.


Common difference = 4-2 = 6-4 = 2


iii) Sequence of fractions got as half the odd numbers


Odd numbers are those which are not divisible by 2


i.e. 1,3,5,7…


The sequence mentioned is half the odd numbers…


I.e. 1/2, 3/2, 5/2, 7/2,…


As, can be seen from the above sequence, it is an Arithmetic Progression.


Common difference = = = 1


iv) Sequence of powers of 2


The sequence of powers of 2 is as follows


21,22,23,… and so on


i.e. 2,4,8,…


Difference of second and first term = 4-2 =2


Difference of third and second term = 8-4 =4


As the difference is not same, it is not an AP.


v) Sequence of reciprocals of natural numbers


Natural numbers are those starting from 1 with common difference as 1


Sequence of reciprocals of natural numbers is as follows –


1/1, 1/2, 1/3 , 1/4 , 1/5… and so on


Difference of second and first term = (1/2)-(1/1) = -1/2


Difference of third and second term = (1/3) – (1/2) = -1/6


As the difference is not same, it is not an AP.


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