Let f ( x ) be a function such that f ( x − 1 ) + f ( x + 1 ) = 3 ⋅ f ( x ) for all x ∈ R . If f ( 5 ) = 10 . Then the value of g ′ ( x ) where g ( x ) = ∑ r = 0 99 f ( 5 + 12 r ) is:

Question

Let f ( x ) be a function such that f ( x − 1 ) + f ( x + 1 ) = 3 ​ ⋅ f ( x ) for all x ∈ R . If f ( 5 ) = 10 . Then the value of g ′ ( x ) where g ( x ) = ∑ r = 0 99 ​ f ( 5 + 12 r ) is:

TestHub · Accepted Answer

Correct answer: 0

Mathematics - Functions Question with Solution | TestHub

Doubts & Discussion