Question

A recursive function is shown below:

f(1) = 5 and f(n) = f(n - 1) - 6; n > 1

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

5, 1, 7, 13, 19, ...
5, -1, -7, -13, -19, ...
5, 11, 17, 23, 29, ...
5, -11, -17, -23, -29, ...
i really dont get these @iGreen.

Answer 1

work out the second term by putting n = 2 in the definition of f(n)
what do you get?

Answer 2

Aw, sorry I can't help you on these..I never got sequences either.. :(

Answer 3

-5

Answer 4

f(n) = f(n-1) - 6
n = 2

f(2) = f(2-1) - 6
= f(1) - 6 = ?

Answer 5

im so confused :(

Answer 6

what does the question say f(1) is?

Answer 7

5

Answer 8

ok - so f(1) - 6 = 5-6

Answer 9

-1

Answer 10

so the answer is B

Answer 11

right

Answer 12

yes

Answer 13

f(3) = f(2) - 6 =-1-6 = -7

etc...

Answer 14

that's what recursive means - you keep on applyig the rulle - its like a loop in a computer program

Answer 15

each term is worked out from the previous term