Question

Which sequence is generated by the function f(n 1) = f(n) – 2 for f(1) = 10? (a) –10, –12, –14, –16, –18, ... (b) –2, 8, 18, 28, 38, ... (c) 8, 18, 28, 38, 48, ... (d) 10, 8, 6, 4, 2, ...

Answer 1

Answer:

d

Step-by-step explanation:

Given

f(n + 1) = f(n) - 2 with f(1) = 10

To generate the sequence substitute values for n into the recursive formula.

f(1) = 10

f(2) = f(1) - 2 = 10 - 2 = 8

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

f(4) = f(3) - 2 = 6 - 2 = 4

f(5) = f(4) - 2 = 4 - 2 = 2

The first 5 terms are 10, 8, 6, 4, 2

Answer 2

Answer:

D,10,8,6,4,2

Step-by-step explanation: