Solve It......6

Computer Science Level 2

f(2)=6

f(6)= 732

f(3) = 12

f(5) = 130

Find the value of f(4)

65 776 45 32 55 34 87

Tanveen Dhingra by tanveen dhingra , 19, India

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1 solution

Caleb Townsend
Mar 1, 2015

As always, there are infinitely many sequences that satisfy the given conditions, but we are looking for the simplest one that results in one of the answers given. It took me a while to find the pattern this time, but it is f ( n ) = n ! + 2 n . f(n) = n! + 2n. This satisfies the given values, and f ( 4 ) = 24 + 8 = 32 f(4) = 24 + 8 = \boxed{32}

2 Helpful 0 Interesting 0 Brilliant 0 Confused

Note that n ! + 2 n = n ( ( n − 1 ) ! + 2 ) , n! + 2n = n((n-1)! + 2), so you could solve it with that function as well, but it is identical to the one I used.

Caleb Townsend - 6 years, 3 months ago

I thought the same function!

Andrea Palma - 6 years, 2 months ago

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