Please, I need help right now or Im pretty much dead! :(

Question:

A sequence has its first term equal to 4, and each term of the sequence is obtained by adding 2 to the previous term. If f(n) represents the nth term of the sequence, which of the following recursive functions best defines this sequence?

f(1) = 2 and f(n) = f(n - 1) + 4; n 1

f(1) = 4 and f(n) = f(n - 1) + 2n; n 1

f(1) = 2 and f(n) = f(n - 1) + 4n; n 1

f(1) = 4 and f(n) = f(n - 1) + 2; n 1

Question

Please, I need help right now or Im pretty much dead! :( 


Question:

A sequence has its first term equal to 4, and each term of the sequence is obtained by adding 2 to the previous term. If f(n) represents the nth term of the sequence, which of the following recursive functions best defines this sequence?

 f(1) = 2 and f(n) = f(n - 1) + 4; n > 1

 f(1) = 4 and f(n) = f(n - 1) + 2n; n > 1

 f(1) = 2 and f(n) = f(n - 1) + 4n; n > 1

 f(1) = 4 and f(n) = f(n - 1) + 2; n > 1

zzr0ck3r · Answer

man you go to a tough school

zzr0ck3r · Answer

death? dear lord....

zzr0ck3r · Answer

so which once will produce the sequence 4,6,8,10.....?

zzr0ck3r · Answer

you know it must be the 2nd or 4th because the first term is 4

anonymous · Answer

Wouldn't it be the fourth?

zzr0ck3r · Answer

yes

anonymous · Answer

Can you show me though how it works?

anonymous · Answer

Because that was pretty much a random guess of randomness lol

zzr0ck3r · Answer

well look at option c

f(1) = 4
f(2) = f(1)+ 2(2) = 4+4=8

zzr0ck3r · Answer

we awnted 6

zzr0ck3r · Answer

but option d

f(1) = 4
f(2) = f(2-1) + 2 = 4+2 = 6

zzr0ck3r · Answer

f(3) = f(3-1) + 2 = f(2) + 2 = 6+ 2 = 8

zzr0ck3r · Answer

you see?

anonymous · Answer

Yes, I do. Thank you so much!