Write first four terms of the AP, when the first term a and the common difference d aregiven as follows:

(i)

(ii)

(iii)

(iv)

(v)

(i) Here, first term a1 = 10 and common difference, d = 10


Hence,


2nd term a2 = a1 + d


= 10 + 10


= 20


3rd term a3 = a1 + 2d


= 10 + 2 x 10


= 30


4th term a4 = a1 + 3d


= 10 + 30


= 40


Therefore,


first four terms of the AP are:


10, 20, 30, 40, ……


(ii) Here,


First term a = -2 and Common difference = 0


Therefore, first four terms of the given AP are:


a1 = - 2, a2 = - 2, a3 = - 2 and a4 = - 2


(iii) Here, first term a1 = 4 and common difference d = - 3


We know that an = a + (n – 1)d, where n = number of terms


Thus, second term a2 = a + (2 – 1)d


a2 = 4 + (2-1)×(-3)


= 4 - 3 = 1


3rd term a3 = a + (3 – 1)d


= 4 + (3-1) × (-3)


= 4 - 6


= -2


4th term a4 = a + (4-1)d


= 4 + (4 - 1) ×( -3)


= 4 - 9 = -5


Therefore,


First four terms of given AP are:


4, 1, - 2, - 5


(iv) We have,


1st term = - 1 and d = 1/2


Hence,


2nd term a2 = a1 + d


= -1 + 1/2


= - 1/2


3rdterm a3 = a1 + 2d


= -1 + 2 * 1/2


= 0


4th term a4 = a1 + 3d


= -1 + 3 * 1/2


= 1/2


Therefore,


The four terms of A.P. are -1, - 1/2, 0, 1/2


(v) We have


1st term = - 1.25 and d = - 0.25


2nd term a2 = a + d


= -1.25 - 0.25


= -1.5


3rd term a3 = a + 2d


= -1.25 + 2 × (-0.25)


= -1.25 - 0.5


= -1.75


4th term a4 = a + 3d


= 1.25 + 3 × (-0.25)


= -2.25


Therefore, first four terms of the A.P. are: 1.25, -1.5, -1.75 and – 2.25

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