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Explanation:

f(x + 2) = f(x) + f(x + 1)

Subtituting x = 13

f(15) = f(14) + f(13)

= [f(13) + f(12)] + f(13)

= 2 × f(13) + f(12)

= 2[f(12) + f(11)] + f(12)

= 3 × f(12) + 2 × f(11)

= 3[f(11) + f(10)] + 2 × f(11)

= 5 × f(11) + 2 × f(10)

∴ 617 = 5 × 91 + 3 × f(10)

Solving this we get, f(10) = 54

Hence, 54.

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