Answer:
65 bottles in 1 hour.
Step-by-step explanation:
A factory processed 1,560 ounces of olive oil per hour.
The oil is packaged in to 24-ounce bottles.
We will divide total number of ounces processed by one packaged bottle.
The number of bottles filled in 1 hour =
= 65 bottles
The factory will filled 65 bottles in 1 hour.
A formula is recursive if it expresses the term in terms of the previous one(s)
In this case, every term is 7 more than the previous one, so the formula for will only involve
:
In fact, this formula is simply saying: for every index , the term with that index is 7 more than the term before.
Also, we have to specify the starting point (otherwise we would go backwards indefinitely), so the complete recursive formula is
which means: start with 2 and generate every other term by adding 7 to the previous one.
Answer:
4, 8, 16, 32, 64
Step-by-step explanation:
The nth term of a geometric sequence is
= a₁
Given
a₇ = 256 and a₁₀ = 2048 , then
a₁ = 256 → (1)
a₁ = 2048 → (2)
Divide (2) by (1)
=
r³ = 8 ( take the cube root of both sides )
r = = 2
Substitute r = 2 into (1)
a₁ × = 256
a₁ × 64 = 256 ( divide both sides by 64 )
a₁ = 4
Then
a₁ = 4
a₂ = 2a₁ = 2 × 4 = 8
a₃ = 2a₂ = 2 × 8 = 16
a₄ = 2a₃ = 2 × 16 = 32
a₅ = 2a₄ = 2 × 32 = 64