Question

help please!!!!
The table below shows the values of f(n) for different values of n:


n 1 2 3 4 5 6
f(n) 1 2 2 4 8 32



Which recursive function best represents the values shown in the table? (4 points)

Answer 1

lalipapa123 help me pleasae

Answer 2

somebody help please?

Answer 3

wait for a while .i am trying to get it

Answer 4

graph representation

Answer 5

ok thanks

Answer 6

these are the answers
f(1) = 1, f(2) = 2, f(n) = f(n -1) f(n - 2); n > 2
f(1) = 1, f(2) = 2, f(n) = f(n -1) + f(n - 2); n > 2
f(1) = 1, f(2) = 2, f(n) = f(n -3) + f(n - 2); n > 2
f(1) = 1, f(2) = 2, f(n) = f(n -3) f(n - 2); n > 2

Answer 7

did it helped u?

Answer 8

mmm not really

Answer 9

then?

Answer 10

can u give me the answer please?

Answer 11

which answer?

Answer 12

of the question?

Answer 13

this question ?

Answer 14

yes

Answer 15

i will try .just wait for a while

Answer 16

ok thanks

Answer 17

hey

Answer 18

Try taking the ratio of successive terms and difference of successive terms when to find a recursive relation for a function. Or, try taking the difference of n th term and n-2 nd term or their ratio. Check a few combinations.

Then see the values of the sequence obtained, if that matches with f(n), f(n-1), f(n-2) or their multiples. Some sequence will match.

n = 1 2 3 4 5 6
f(n) = 1 2 2 4 8 32
f(n-1) = - 1 2 2 4 8 32
f(n-2) = - - 1 2 2 4 8 32
2 f (n-1) = - 2 4 4 8 16

f(n)-f(n-1) = - 1 0 2 4 24
f(n)-2 f(n-1) = - 0 -2 0 0 16
f(n) - f(n-2) = - - 1 2 6 28

f(n) / f(n-1) = - 2 1 2 2 4
f(n) / f(n-2) = - - 2 2 4 8
f(n) / f(n-3) = - - - 4 4 16


It seems to be that only the data items highlighted are matching.

Now infer the relationship. f(n) / f(n-1) = f(n-2
f(n) = f(n-1) * f(n-2) , for 3 <= n <= 6
OR, f(n+2) = f(n+1) * f(n) , for 1 <= n <= 4

If we want the relation to be defined for the first two data items also, then we may define
f(-1) = 1/2 and f(0) = 2, in that case,

f (n) = f (n - 1) f (n - 2), for 1 <= n <= 6

Answer 19

if it help you give me medal