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3 years ago

Which of the following sequences is not arithmetic?

Mathematics

1 answer:

Reil [10]3 years ago

7 0

Answer:

Step-by-step explanation:

Arithmetic sequences have a definite pattern.

A is counting up by 1, C is counting up by 2, and D is subtracting by 2 to get the next number in their sequences.

B's pattern is not so definite as it jumps from 14 to 9 and then to 16.

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Sebastian writes the recursive formula f(x+1) = 4f(x) to represent a geometric sequence whose second term is 12. Which explicit

NeX [460]

Answer:

B.) f(x) = 3(4)x − 1

Step-by-step explanation:

A) f(x) = 12(4)x

B.) f(x) = 3(4)x − 1

C.) f(x) = 4(12)x

D.) f(x) = 4(3)x − 1

Given:

f(x+1) = 4f(x)

f(2)=12

f(2) = 12

f(3) = 4f(2) = 4 * 12 = 48

f(3)=48 and f(2)=12

From f(3)=48 and f(2)=12

r=48/12

r=common ratio

Recall,

f(2)=12=ar

r=4

f(2)=ar=12

a*4=12

a=12/4

a=3

an=ar^(n-1)

For x term

an=3*4(x-1)

B.) f(x) = 3(4)x − 1

5 0

4 years ago

A bookstore packs six books in a box the total weight of the books is 14 1/4 pound each book has the same weight what is the wei

Charra [1.4K]

The weight of one book would be 2.375.

6 0

4 years ago

Help thanksSSSSSSSSSS

Setler79 [48]

Answer:

$\boxed{\sf{x=24}}$

Step-by-step explanation:

<u>GIVEN:
</u>

To find the missing number in the proportion, you have to isolate it the term of x from one side of the equation.

$\sf{\dfrac{8}{7}=\dfrac{x}{21} }$

First, thing you do is switch sides.

$\sf{\dfrac{x}{21}=\dfrac{8}{7} }$

Multiply by 21 from both sides.

$\Longrightarrow: \sf{\dfrac{21x}{21}=\dfrac{8*21}{7} }$

Solve.

Multiply the numbers from left to right.

Use the order of operations.

PEMDAS stands for:

Parentheses
Exponents
Multiply
Divide
Add
Subtract

$\Longrightarrow: \sf{\dfrac{8*21}{7}=\dfrac{168}{7}=24 }$

$\Longrightarrow: \boxed{\sf{x=24}}$

<u>Therefore, the final answer is x=24.</u>

I hope this helps. Let me know if you have any questions.

3 0

2 years ago

What is the simplified value of the exponential expression 16^1/4?

guapka [62]

I hope this helps you

4 0

4 years ago

Read 2 more answers

Which expression is equivalent to Negative 32 Superscript three-fifths?

Sidana [21]

Answer:

$-8$

Step-by-step explanation:

Given: $(-32)^{(\frac{3}{5}) }$

To choose: the correct option

Solution:

Power refers to a number of times, a number is multiplied by itself. Another name for power is exponent.

As per rule of exponents, $(a^m)^n=a^{mn}$

Here,

$(-32)=(-2)^5$

Therefore,

$(-32)^{(\frac{3}{5}) }=[(-2)^5]^{(\frac{3}{5}) }=(-2)^{5(\frac{3}{5}) }$

Here, $a=-2,m=5,n=\frac{3}{5}$

So,

$(-32)^{(\frac{3}{5}) }=[(-2)^5]^{(\frac{3}{5}) }=(-2)^{5(\frac{3}{5}) }=(-2)^3=-8$

8 0

3 years ago

Read 2 more answers