6th term of series 1,1/4,1/7, 1/10,….. is:
(a) 1/13
(b) 1/16
(c) 1/15
(d) None of these
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Answer is (b) 1/16
The given series is a H.P. because the corresponding A.P. will be 1, 4, 7, 10,….
In which a = 1, d = 4 – 1 = 3
∴ If 6th term a6 = a + 5d
= 1 + 5 × 3 = 1 + 15 = 16
Thus, 6th term of corresponding H.P. is 1/16.