For the following APs, write the first term and the common difference:

(i)


(ii)


(iii)


(iv)


(i) Here, first term a = 3


Now,


The Common difference of the A.P. can be calculated as:


a4 – a3


= - 3 – ( -1)


= - 3 + 1


= - 2


a3 – a2


= - 1 – 1


= - 2


a2 – a1


= 1 – 3


= - 2


Now, hereak+1 – ak = - 2 for all values of k


Hence, first term = 3 and common difference = - 2


(ii) a4 – a3


= 7 – 3


= 4


a3 – a2


= 3 – (-1)


= 3 + 1


= 4


a2 – a1


= - 1 – (-5)


= - 1 + 5


= 5


Now, here, ak+1 – ak = - 2 for all values of k


Therefore, first term = - 5 and common difference = 4


(iii) From the question,


a4 – a3


=



a3 – a2


=



a2 – a1


=


Now, ak+1 – ak = - 2 for all values of k


Therefore,


First term = 1/3 and common difference = 4/3


(iv) a4 – a3


= 3.9 – 2.8


= 1.1


a3 – a2


= 2.8 – 1.7


= 1.1


a2 – a1


= 1.7 – 0.6


= 1.1


Now, here, ak+1 – ak = - 2 for all values of k


Therefore,


First term = 0.6 and common difference = 1.1


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