Question

Write first four terms of the AP, when the first term a and the common difference d are given as follows:
 (i) a = –2, d = 0    (ii)  a = – 1, d =1/2   (iii) a = – 1.25, d = – 0.25.
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Answer 1

Step-by-step explanation:

Answer:

(i) 10, 20, 30, and 40.

(ii) 2, 2, 2, and 2.

(iii) 4, 1, -2, and -5.

(iv) -1, -1/2, 0, and 1/2.

(v) -1.25, -1.5, -1.75, and -2

Step-by-step explanation:

If the first term of an A.P. is a and the common difference is d, then the first four terms of the A.P. are a, (a+d), (a+2d), (a+3d).

Hence,

(i) When a=10 and d=10, then the first four terms of the A.P. will be 10, 20, 30, and 40. (Answer)

(ii) When a=-2 and d=0, then the first four terms of the A.P. will be 2, 2, 2, and 2. (Answer)

(iii) When a=4 and d= -3, then the first four terms of the A.P. will be 4, 1, -2, and -5. (Answer)

(iv) When a= -1 and d=1/2, then the first four terms of the A.P. will be -1, -1/2, 0, and 1/2. (Answer)

(v) When a= -1.25 and d= -0.25, then the first four terms of the A.P. will be -1.25, -1.5, -1.75, and -2.