Question

F(1) = -100

f(n) = f(n-1) + 10
a) Write down the first four terms in this sequence.
b) Write down the explicit equation that models this sequence.

Answer 1

a) -100, -90, -80, -70. b) f(n) = -100 + 10(n-1)

Step-by-step explanation:

a) First four terms:

• f(1) = -100
• f(2) = f(1) + 10 = -100 + 10 = -90
• f(3) = f(2) + 10 = -90 + 10 = -80
• f(4) = f(3) + 10 = -80 + 10 = -70

b) Explicit equation:

The explicit equation that models this sequence is f(n) = -100 + 10(n-1), where n represents the position of a term in the sequence.