A series of natural numbers 𝐹1, 𝐹2, 𝐹3, 𝐹4, 𝐹5, 𝐹6, 𝐹7, … obeys 𝐹𝑛+1…

GATE Β· 2023 Β· CS Β· General Aptitude

A series of natural numbers 𝐹1, 𝐹2, 𝐹3, 𝐹4, 𝐹5, 𝐹6, 𝐹7, … obeys 𝐹𝑛+1 = 𝐹𝑛 + πΉπ‘›βˆ’1 for all integers 𝑛 β‰₯ 2 .

If 𝐹6 = 37, and 𝐹7 = 60, then what is 𝐹1 ?

  1. A.

    4

  2. B.

    5

  3. C.

    8

  4. D.

    9

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