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If for some number a and d, if first term is ^1⁄a, second term is 1/(a+d), thrid term is 1/(a+2d) and so on, then 5^th term of the sequence is?

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If for some number a and d, if first term is ^1⁄a, second term is 1/(a+d), thrid term is 1/(a+2d) and so on, then 5^th term of the sequence is?

(a) a+4d

(b) a-4d

(c) 1/(a+4d)

(d) none of the mentioned

This question was posed to me during an interview.

My enquiry is from Harmonic Sequences in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

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Correct choice is (c) 1/(a+4d)

Easy explanation: The given sequence will form HP, thus 5^th term will be (a+(5-1)d) – 1.

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