Question

help

Answer 1

A recursive function is shown below:

f(1) = 4 and f(n) = f(n - 1) - 8; n > 1

Which of the following lists the terms in the sequence defined by this recursive function?

4, -4, -12, -20, -28, ...
4, 4, 12, 20, 28, ...
4, 12, 20, 28, 36, ...
4, -12, -20, -28, -36, ...

Answer 2

f(2) = f(2-1)-8 = f(1) - 8 = -4
f(3) = f(3-1)-8 = f(2) - 8 = -4 - 8 = -12

Answer 3

Do you see how?

Answer 4

no explain mor3 @lokeshh

Answer 5

oh wait yes so the answer would be what? > that is why i am not understanding.

Answer 6

Let's first calculate f(2).

We use this formula: f(n) = f(n - 1) - 8; n > 1

In this formula we substitute n to 2, then we have

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

Now since we know f(1) = 2, this gives us f(2) = 4 - 8 = -4

Do you understand how I computed f(2)?

Answer 7

yes

Answer 8

i got a

Answer 9

@lokeshh

Answer 10

Now can you calculate f(3) by substituting n = 3?

Answer 11

i got a

Answer 12

You meant you got it?

Answer 13

yes i do for the answer i believe its a :)

Answer 14

Yeah, that's the correct answer. You can further check by calculating f(3) and f(4). They will be -12 and -20 respectively.

Answer 15

ok XOXO thank you :D