All categories

2 years ago

Which of the following describes the quotient of 3 and -21?

Mathematics

1 answer:

Vinil7 [7]2 years ago

3 0

-21 divided by 3: -7

Your answer is -7

You might be interested in

Simplify (2x^2+3x-6)(x-1)

Alina [70]

2x^3-2x^2+3x^2-3x-6x+6
2x^3+x^2-9x+6

5 0

3 years ago

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

Please help ASAP this is 6th grade math plz

lianna [129]

Answer:

3 ft times<em> x </em>ft

Step-by-step explanation:

You don't know what the x is so you can keep it as a x.You are going to multiply it so it is 3 ft times<em> x </em>ft

6 0

3 years ago

Use explicit formula to find the 10th of each geometric sequence

Sindrei [870]

Answer:

1. 1*9^(10-1) = 387,420,489

2.2*4^(10-1) = 524,288

Step-by-step explanation:

The explicit formula for a geometric sequence is a1 * r^n-1

Where a1 is your first term, r is your ratio, and n is the amount of terms you want in the sequence

To solve for the 10th number in the sequence, we simply plug 10 in for n.

Hope this helps

3 0

2 years ago

Find the area of the following figure below

icang [17]

140
explanation: ......

6 0

2 years ago