Write first four terms of the AP, when the first term a and the common difference d are given as follows:(i) a = 10, d = 10 (ii) a = –2, d = 0(iii) a = 4, d = – 3 (iv) a = – 1, d =1/2(v) a = – 1.25, d = – 0.25
Answers
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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. (Answer)