Question

HELP MEDAL!


The first four terms of a sequence are shown below:

6, 2, -2, -6

Which of the following functions best defines this sequence?

f(1) = 6, f(n + 1) = f(n) + 4; for n ≥ 1
f(1) = 6, f(n + 1) = f(n) - 2; for n ≥ 1
f(1) = 6, f(n + 1) = f(n) - 4; for n ≥ 1
f(1) = 6, f(n + 1) = f(n) + 2; for n ≥ 1

@satellite73 @mathstudent55 @TuringTest @Nnesha @confluxepic

Answer 1

Where are you stuck?

Answer 2

@OOPS don't understand overall question

Answer 3

6 is the first term , it is f(1)
2 is the second term, it is f(2)
-2 is the third term, it is f(3)
-6 is the fourth term, it is f(4)

Answer 4

Now, I pick f(2)
Do you agree with me that f(2) = f(1+1)

Answer 5

yep

Answer 6

if I say n =1, so n+1 =2 , right?

Answer 7

Not sure about that

Answer 8

now, \(f(\color{red}{n}+1)= f(\color{red}{n})+4\)
so, if \(\color{red}{n=1}\), then \(f(\color{red}{1}+1) = f(2) = f(\color{red}{1})+4= 6+4=10\)

Answer 9

that is the first option, but our f(2) \(\neq 10\), hence, the first option is not the correct one.

Answer 10

You read and try to understand what I am saying, then test for option 2, 3, 4 to know which one is the correct answer.

Answer 11

Unless you don't want to study and I waste my time to explain, I don't think it is that hard. :)

Answer 12

@OOPS I can see it's not hard but i'm having trouble understanding