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

Answer 1

well the first term is 4 so which 2 options can you rule out?

Answer 2

A and C?

Answer 3

yes

Answer 4

now try which of the other 2 options add 2 to a term in the series/

Answer 5

try plugging in 2 for n and see if it gives 6 as the second term

(we know that the series is 4,6,8 ...)

Answer 6

B?

Answer 7

we know its either b or d

Answer 8

i think its B

Answer 9

lets try b:

f(n-1) + 2n
f(2) = f(2-1) + 2(2)
= f(1) + 4
now f(1) = 4

so f(20 = 4+4 = 8

this one?

Answer 10

do you follow theabove?

Answer 11

yea but did you mean to put(2)

Answer 12

yes

Answer 13

if you try d you get

f(1) + 2 = 4 + 2 = 6

Answer 14

sorry i was talking to my teacher but so its D?

Answer 15

yes