Question

Find f(5) for this sequence:

f(1) = 2 and f(2) = 3, f(n) = f(1) + f(2) + f(n - 1), for n > 2.

f(5) = ______

Answer 1

@1800_RATCHETHUNTERS

Answer 2

@waterineyes

Answer 3

@Babyjoker001

Answer 4

@Catseyeglint911

Answer 5

f(3) = f(2) + f(1) => 3 + 2 = 5

f(4) = f(3) + f(2) => 5 + 3 = 8

f(5) = f(4) + f(3) => 8 + 5 = 13

Therefore the sequence is 2, 3, 5, 8, 13,.....a Fibonacci sequence.

Answer 6

thanks again xD!!!

Answer 7

no problem

Answer 8

the way you wrote it

f(n) = f(1) + f(2) + f(n - 1)

f(3)= f(1) + f(2) + f(3 - 1)=f(1)+f(2)+f(2)=2+3+3=8

Answer 9

f(4)=f(1)+f(2)+f(4-1)=f(1)+f(2)+f(3)=2+3+8=13

Answer 10

f(5)=f(1)+f(2)+f(5-1)=f(1)+f(2)+f(4)=2+3+13=18