A sequence has its first term equal to 3, and each term of the sequence is obtained by adding 5 to the previous term. If f(n) represents the nth term of the sequence, which of the following recursive functions best defines this sequence? (1 point)

f(1) = 3 and f(n) = f(n - 1) + 5; n 1
f(1) = 5 and f(n) = f(n - 1) + 3; n 1
f(1) = 3 and f(n) = f(n - 1) + 5n; n 1
f(1) = 5 and f(n) = f(n - 1) + 3n; n 1

I need help If you would be kind enough to just help me that would be much apreciated

Question

A sequence has its first term equal to 3, and each term of the sequence is obtained by adding 5 to the previous term. If f(n) represents the nth term of the sequence, which of the following recursive functions best defines this sequence? (1 point) 
  
 f(1) = 3 and f(n) = f(n - 1) + 5; n > 1 
 f(1) = 5 and f(n) = f(n - 1) + 3; n > 1 
 f(1) = 3 and f(n) = f(n - 1) + 5n; n > 1 
 f(1) = 5 and f(n) = f(n - 1) + 3n; n > 1 
 
I need help If you would be kind enough to just help me that would be much apreciated

bobobox · Answer

@HeyWassup345

mehek14 · Answer

so it an be from the first and third options because the first sequence starts with 3

mehek14 · Answer

it *has to* be

mehek14 · Answer

I would go with the first one because it adds +5 to the previous sequence

butterflydreamer · Answer

The question tells you that in the sequence, it's first term would be EQUAL to 3 right?
So this means f (1) = 3 :) 
Then the question tells you "each term of the sequence is obtained by ADDING 5 to the PREVIOUS term)
So "n" would represent your term or your number. 
So  since each term of the sequence  [ represented by f(n) ] is obtained by adding 5 to the previous term [ previous term would be (n-1) ]
This would mean f (n) = ( n - 1) +5 
Hope this helps you :)! @bobobox