Answer:
The sequence -12 , -18 , -27 , ............ is generated using the formula ⇒ 1st sequence
Step-by-step explanation:
The recursive formula of the sequence is f(n + 1) = 1.5 f(n)
That means there is a constant ratio 1.5 between each two consecutive terms
In sequence -12 , -18 , -27 , ............
The first term is -12
The formula is f(n + 1) = 1.5 f(n)
Use the first term where n = 1 to find the 2nd term
∵ f(1) = -12
- Substitute n by 1 in the given formula
∵ f(1 + 1) = 1.5 f(1)
∴ f(2) = 1.5(-12)
∴ f(2) = -18
Use the second term where n = 2 to find the 3rd term
∵ f(2) = -18
- Substitute n by 2 in the given formula
∵ f(2 + 1) = 1.5 f(2)
∴ f(3) = 1.5(-18)
∴ f(3) = -27
∴ The sequence -12 , -18 , -27 , ............ is generated using the formula
, which is around 90.2%.