Respuesta :
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:
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