6th term of series 1,1/4,1/7, 1/10,….. is:(a) 1/13(b) 1/16(c) 1/15(d

1.	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
Answer» 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 6^th term a₆ = a + 5d = 1 + 5 × 3 = 1 + 15 = 16 Thus, 6th term of corresponding H.P. is 1/16.

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

Answer»

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 6^th term a₆ = a + 5d

= 1 + 5 × 3 = 1 + 15 = 16

Thus, 6th term of corresponding H.P. is 1/16.