<img src="https://tex.z-dn.net/?f=x%5E2-11x%2B24%3D0" id="TexFormula1" title="x^2-11x+24=0" alt="x^2-11x+24=0" align="absmiddle"

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Sholpan [36]

3 years ago

class="latex-formula">

Mathematics

1 answer:

Mashcka [7]3 years ago

8 0

Your answer is x=-24/11

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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

If JKL - PNM. then M = L and the sides NP and KJ are proportional. True Or False???

nikklg [1K]

Answer:

True

Step-by-step explanation:

In similarity triangles, corresponding angles are congruent and corresponding sides are in proportion.

4 0

3 years ago

Read 2 more answers

park ranger spent $208 to buy 12 trees.Redwood trees cost $24 each and spruce trees cost $16 each. How many of each tree did the

katovenus [111]

Answer:

The park ranger bought 2 redwood trees and 10 spruce trees.

Step-by-step explanation:

24 * 2 = 48

208 - 48 = 160

160 / 16 = 10

7 0

3 years ago

Please help asap 30 pts

Dmitry [639]

C: 12/35a^3

2 multiplied by 6 is 12.
5 multiplied by 7 is 35.
a^1+a^2=a^3.

7 0

3 years ago

Read 2 more answers

On a coordinate plane, triangles R S T and L M N are shown. Triangle R S T has points (5, 5), (2, 1), and (1, 3). Triangle L M N

ivolga24 [154]

Answer:

LMN has a larger area

Step-by-step explanation:

Given

RST

$R =(5,5)$

$S= (2,1)$

$T = (1,3)$

LMN

$L = (0,-1)$

$M= (2,-4)$

$N= (-2,-3)$

Required

Compare both areas

The area of triangle is:

$Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|$

For RST, we have:

$Area = \frac{1}{2}|5*1 - 2*5 + 2*3 - 1*1 + 1*5 - 5*3|$

$Area = \frac{1}{2}|-10|$

Remove absolute signs

$Area = \frac{1}{2}*10$

$Area = 10$

For LMN, we have:

$Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|$

$Area = \frac{1}{2}|0*-4-2*-1+2*-3--2*-4--2*-1-0*-3|$

$Area = \frac{1}{2}|-14|$

Remove absolute signs

$Area = \frac{1}{2}*14$

$Area = 7$

By comparing both areas, we can conclude that LMN has a larger area

3 0

3 years ago