JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Application +4 | -1

If a function F is such that

F\left( 0 \right) = 2,\;F\left( 1 \right) = 3,\;F\left( {n + 2} \right) = 2F\left( n \right) - F\left( {n + 1} \right)\;for\;n \ne 0

, then

F\left( 5 \right)

is equal to

View answer and explanation

Correct option: D

Option D (13) is correct because by iteratively applying the given recurrence relation, we find that F(5) equals 13.

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