How many 2/3-ounce packages of almonds can be made with 8 ounces of almonds?

Mathematics

1 answer:

ziro4ka [17]3 years ago

8 0

ANSWER: 12 packages can be made.

Hope it helps u!

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Represent the geometric series using the explicit formula.

Dennis_Churaev [7]

The correct answer is:

b.) f(n) = 3 • (-2)^(n-1)

Further explanation:

Given sequence is:

3, -6, 12, -24, ...

We have to find the common ratio first.

Common ratio is the ratio between two consecutive terms of a geometric sequence.

It is denoted by r.

So,

$Here,\\a_1=3\\a_2=-6\\a_3=12\\a_4=-24\\r=\frac{a_2}{a_1}=\frac{-6}{3}=-2\\\frac{a_3}{a_2}=\frac{12}{-6}=-2$

General formula for geometric sequence is:

$a_n=a_1r^{n-1}\\Here\\a_n\ is\ the\ nth\ term\\a_1\ is\ the\ first\ term\\and\\r\ is\ common\ ratio$

Putting the values of a1 and r

$a_n=3.(-2)^{n-1}\\f(n)=3.(-2)^{n-1}$

Hence,

The correct answer is:

b.) f(n) = 3 • (-2)^(n-1)

Keywords: Geometric Sequence, Explicit formula

Learn more about geometric sequence at:

#LearnwithBrainly

7 0

3 years ago

What is the volume of a cylinder that has the same base and height dimensions as the cone shown below? Use 3.14 for pi the base

Zarrin [17]

Answer: I assume the radius is 1/2 the base of 6 in.

r = 3 ft
h = 10 ft
s = 10.4403 ft
V = 94.2478 ft³
L = 98.3976 ft²
B = 28.2743 ft²
A = 126.672 ft²

r = radius
h = height
s = slant height
V = volume
L = lateral surface area
B = base surface area 
A = total surface area
π = pi = 3.14159
√ = square root

8 0

3 years ago

What number is 4 times as many as 25

enyata [817]

A number 4 times as much as 25 is 100

7 0

3 years ago

Colin is skateboarding and is riding a rail. The rail is attached to two poles. The first pole is 80 cm tall and the

Vinvika [58]

Answer:

$\sqrt{4.49m}$