Question

Medal And Fan

Answer 1

Wait

Answer 2

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 4 16 128 4096
Which recursive function best represents the values shown in the table?
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
f(1) = 1, f(2) = 2, f(n) = 2f(n -1) + f(n - 2); n > 2
f(1) = 1, f(2) = 2, f(n) = 2f(n -1) f(n - 2); n > 2

Answer 3

@vishweshshrimali5
@mathstudent55

Answer 4

One way is to put different values of n in all options and see which one is the best

Answer 5

Ok

Answer 6

Im having trouble with that

Answer 7

Why ?

Answer 8

?????

Answer 9

I mean what problem are you facing in that technique

Answer 10

Yes kind of

Answer 11

but if i know the answer i can work backwards

Answer 12

Ok let me help you.

See I know the value of f(3).

Now in each of option try to find out the value of f(3) using f(1), f(2) and given function f(n) by putting n = 3.

See which option gives the correct value of f(3).

If there are more than one such options, then in those options try the above method for finding value of f(4) and so on till you get the correct option

Answer 13

Ok

Answer 14

See if this can help u,

Answer 15

I dont understand

Answer 16

What did u get

Answer 17

Okay since I don't have f(0) so i will start with finding values of f(4).

(1) f(4) = f(1) + f(2) = 3 which is not equal to 16 (the value of f(4) according to question)
So this can't be the correct answer.

Answer 18

Now try finding out f(4) using other options in similar way.

Answer 19

Ok

Answer 20

And thanks so far

Answer 21

No problem now try soling the question.

Answer 22

I think that it is option 3 could u help me with that one

Answer 23

For options 3 and 4 first you should find out f(3).

For option:

(3) f(3) = 2f(2) + f(1)= 2 * 2 + 1 = 5 but this doesn't match value of f(3) as given in the question.
So, (3) is incorrect

(4) f(3) = 2f(1)f(2) = 2*1*2 = 4 which matches the given value of f(3) so it is the correct answer.

Answer 24

So number 4 is correct

Answer 25

Yes

Answer 26

Thank You

Answer 27

Could u help me with another in about 8 min

Answer 28

No problem.

Enjoy your time at os and keep practicing.

Wish you the very best for your future.
Good day.

Answer 29

The function f(x) = (1.006235)^12x models the monthly interest that a bank offers to Dan after x years. Dan converts the function to have x isolated in the exponent. What is the approximate rate of growth?
1%
8%
10%
12%