All categories

3 years ago

If a4=16 and a8=32 and an= 128 for an arithmetic sequence what is the value of n?

Mathematics

1 answer:

Brilliant_brown [7]3 years ago

5 0

Answer:

n = 32

Step-by-step explanation:

an = a1 + (n - 1)d

a4 = a1 + 3d = 16

a8 = a1 + 7d = 32

7d - 3d = 32 - 16

4d = 16

d = 4

a4 = a1 + 3d = 16

a1 + 3(4) = 16

a1 + 12 = 16

a1 = 4

an = 4 + (n - 1)4 = 128

4 + 4n - 4 = 128

4n = 128

n = 32

You might be interested in

3b +2f = 21.50 What is the Answer for B and F

Citrus2011 [14]

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

b=7.1¯6−2f/3

Isolate the variable by dividing each side by factors that don't contain the variable.

f=10.75−3b/2

Step-by-step explanation:

5 0

3 years ago

Each cube in this figure is a 1/2 centimeter cube. How many cubes are in the prism?

Archy [21]

Answer:

36 cubes

Step-by-step explanation:

4×3×3 = 36 cubes

One face: 4×3 = 12

There are 3 similar arrangements

6 0

3 years ago

What expression is equivalent to ^3 square root of 2y^3 times 7 square root of 18y

Mumz [18]

Answer:

$\sqrt[3]{2y^3} * 7\sqrt{18y} = 21(y^{\frac{3}{2}})(2^{\frac{5}{6}})$

Step-by-step explanation:

The question is poorly formatted.

Given

$\sqrt[3]{2y^3} * 7\sqrt{18y}$

Required

Derive an equivalent expression

$\sqrt[3]{2y^3} * 7\sqrt{18y}$

Express 18 as 9 * 2

$\sqrt[3]{2y^3} * 7\sqrt{9 * 2y}$

Split the expression as follows:

$\sqrt[3]{2y^3} * 7\sqrt{9} * \sqrt{2y}$

Take positive square root of 9

$\sqrt[3]{2y^3} * 7*3 * \sqrt{2y}$

$\sqrt[3]{2y^3} * 21 * \sqrt{2y}$

$21*\sqrt[3]{2y^3} * \sqrt{2y}$

The cube root can be rewritten to give:

$21*\sqrt[3]{2}*\sqrt[3]{y^3} * \sqrt{2y}$

$\sqrt[3]{y^3} = y^{3*\frac{1}{3}} = y$

So, we have:

$21*\sqrt[3]{2} * y * \sqrt{2y}$

Rewrite as:

$21y *\sqrt[3]{2} * \sqrt{2y}$

Split $\sqrt{2y$

$21y *\sqrt[3]{2} * \sqrt{2} * \sqrt{y}$

Collect Like Terms

$21y*\sqrt{y} *\sqrt[3]{2} * \sqrt{2}$

Represent in index form

$21y*y^{\frac{1}{2}} *2^\frac{1}{3} *2^\frac{1}{2}$

Apply law of indices

$21*y^{1+\frac{1}{2}} *2^{\frac{1}{3} +\frac{1}{2} }$

$21*y^{\frac{2+1}{2}} *2^{\frac{2+3}{6}}$

$21*y^{\frac{3}{2}} *2^{\frac{5}{6}}$

$21(y^{\frac{3}{2}})(2^{\frac{5}{6}})$

Hence:

$\sqrt[3]{2y^3} * 7\sqrt{18y} = 21(y^{\frac{3}{2}})(2^{\frac{5}{6}})$

6 0

3 years ago

PLEASE HELP ILL GIVE BRAINLIEST

Hatshy [7]

Answer:

False

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b

where m is the slope and c the y- intercept

7 0

4 years ago

2. Carbohydrates are found in many foods. What is the end result of the body's use of a

nekit [7.7K]

Answer: the end result of carbohydrate is glucose, carbohydrates enhances energy and sugar levels.

Step-by-step explanation:

Major sources of carbohydrates are vegetables, fruits, whole grains, milk, and milk products. Carbohydrates at the chemical level contains carbon, hydrogen and oxygen.

5 0

4 years ago