Question

100 POINTS! PLEASE HELP ME

Answer 1

Answer:

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

Step-by-step explanation:

First, notice that the difference between each neighboring term is different, so it is not linear, so we can rule out A and B. Now, it's all about finding a pattern. Eventually, through guess and check, you will get 2 * f(n - 1) + 1.

Perhaps there was a typo in C? Idk!!

Answer 2

Answer:

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

Step-by-step explanation:

5, 11, 23 , 47, 95, .....

 +6  +12  +24 + 48

Notice we are 1 less then what we add the next time

5 = 2*3 -1

11 = 2*2*3 -1

23 = 2*2*2 *3 -1

The formula is

3* 2^(n) -1

Lets check the 4th term

3 ^ 2^4 -1

3*16 -1

48 -1 = 47

So this works

To get from  the previous term

We 5*2 +1 =11

11*2 +1 = 22+1 = 23

23*2 +1 = 46+1 = 47

an = 2an+1

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