Mathematics
Write first four of the terms of the A.P., when the first term a and the common difference a are given as follows :
(i) a = 10, d = 10
(ii) a = -2, d = 0
(iii) a = 4, d = -3
(iv) a = , d =
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Answer
(i) Here, a1 = a = 10, a2 = a1 + d = 10 + 10 = 20,
a3 = a2 + d = 20 + 10 = 30, a4 = a3 + d = 30 + 10 = 40.
Hence, the first four terms of A.P. are 10, 20, 30, 40.
(ii) Here, a1 = a = -2, a2 = a1 + d = -2 + 0 = -2,
a3 = a2 + d = -2 + 0 = -2, a4 = a3 + d = -2 + 0 = -2.
Hence, the first four terms of A.P. are -2, -2, -2, -2.
(iii) Here, a1 = a = 4, a2 = a1 + d = 4 + (-3) = 1,
a3 = a2 + d = 1 + (-3) = -2, a4 = a3 + d = -2 + (-3) = -5.
Hence, the first four terms of A.P. are 4, 1, -2, -5.
(iv) Here, a1 = a = , a2 = a1 + d = ,
a3 = a2 + d = , a4 = a3 + d = = 0.
Hence, the first four terms of A.P. are .
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