The first four terms of a sequence are shown below.
9, 5, 1, -3

Which of the following functions best defines this sequence? (4 points)

f(1) = 9, f(n + 1) = f(n) - 4; for n ≥ 1
f(1) = 9, f(n + 1) = f(n) + 4; for n ≥ 1
f(1) = 9, f(n + 1) = f(n) - 5; for n ≥ 1
f(1) = 9, f(n + 1) = f(n) + 5; for n ≥ 1

Question

The first four terms of a sequence are shown below.
9, 5, 1, -3

Which of the following functions best defines this sequence? (4 points)
 
  
 f(1) = 9, f(n + 1) = f(n) - 4; for n ≥ 1 
 f(1) = 9, f(n + 1) = f(n) + 4; for n ≥ 1 
 f(1) = 9, f(n + 1) = f(n) - 5; for n ≥ 1 
 f(1) = 9, f(n + 1) = f(n) + 5; for n ≥ 1

ganeshie8 · Answer

look at the given sequence 
do u see any pattern ?

anonymous · Answer

-4

ganeshie8 · Answer

yes ! next look at ur options...

ganeshie8 · Answer

first term is 9, 
so $f(1) = 9$

ganeshie8 · Answer

next term can be obtained by subtracting 4 from present term,
$f(n+1) =  f(n) -  4$

anonymous · Answer

So it would be A

ganeshie8 · Answer

you got it !!

anonymous · Answer

thank you :)