1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Digiron [165]
3 years ago
15

Suppose that a sequence is defined as follows.

Mathematics
1 answer:
Tema [17]3 years ago
3 0
Arthimetic sequence so use the formula
You might be interested in
A landscaping company ordered 13 plants and 4 trees for a total of $487. If plants are $8 each, write and solve a linear equatio
oksian1 [2.3K]

Answer:

trees are $95.75

Step-by-step explanation:

13(8) + 4t =487

104 + 4t= 487

104 -104 + 4t = 487 -104

4t = 383

4/4t = 383/4

t = 95.75

5 0
3 years ago
A sequence has an initial value (I) of -17 and its fourth term (a4) is 35. What is its general equation? Its 14th term?
aleksley [76]

Answer:

  1. The sequence is an Arthemtic Progression

An=A1+(n-1)d

A1 is first term, An is nth term, n is number of term, and d is common difference

therefore

A4=35, A1= -17

A4=A1+(4-1)d

35= -17+3d

35+17=3d

52=3d

52/3=3d/3

14=d

common diffrence(d)=14

  • The general solution is given by

An= -17+(n-1)14

An= -17+14n-14

An= -31+14n

<u>An= 14n-31</u>

A14 term, means n=14

From An=A1+(n-1)d

A14= -17+(14-1)14

= -17+(13×14)

= -17+182

= 165.

<u>Therfore, the 14th term is 165.</u>

2. A sequence has a CR of 4/5 and its eighth term (a8) is (393216/3125). What is its general equation? Its 3rd term?

<u>solution</u>

common ratio(r)=4/5

eighth term(G8)=393216/3125

From Gn= G1r^(n-1)

G8 means n=8

G8=G1r^(n-1)

393216/3125=G1(4/5)^(8-1)

393216/3125=G1(4/5)^7

G1=(393216/3125)/(4/5)^7

G1=600

<u>The first term is given by G1=600</u>

  • Therefore

The General equation is given by

The General equation is given by Gn= 600(4/5)^(n-1)

3rd term (G3)

G3= G1(4/5)^(3-1) where n=3,

=600(4/5)^2

=600(16/25)

=384

<u>Therefore, the 3rd term is given by G3= </u><u>3</u><u>8</u><u>4</u><u>.</u>

<u>I</u><u> </u><u>h</u><u>a</u><u>v</u><u>e</u><u> </u><u>m</u><u>a</u><u>d</u><u>e</u><u> </u><u>s</u><u>o</u><u>m</u><u>e</u><u> </u><u>C</u><u>o</u><u>r</u><u>r</u><u>e</u><u>c</u><u>t</u><u>i</u><u>o</u><u>n</u><u>s</u><u> </u><u>i</u><u> </u><u>m</u><u>e</u><u>s</u><u>s</u><u>e</u><u>d</u><u> </u><u>u</u><u>p</u><u> </u><u>s</u><u>o</u><u>m</u><u>e</u><u>w</u><u>h</u><u>e</u><u>r</u><u>e</u><u>.</u>

7 0
3 years ago
Could someone help me with this?? thanks!
ANEK [815]

Answer:

Step-by-step explanation:

    1/4                     ( x+10)                   =                x -4

one fourth the sum of x and 10 is identical to x minus 4

5 0
3 years ago
Number two please <br> ASAP
miv72 [106K]

The solutions for -5 +2x^{2} = -6x is option 3. x= \frac{-6 \pm \sqrt{36-4 (2)(-5)}}{4} .

Step-by-step explanation:

Step 1:

First, we must bring the equation to the form of ax^{2} +bx +c =0.

So -5 +2x^{2} = -6x becomes 2x^{2} +6x-5=0.

The value of a is the coefficient of the x^{2} term, the value of b is the coefficient of x term and c is the coefficient of the constant term.

Comparing the above equation to ax^{2} +bx +c =0, we get a = 2, b = 6, and c=-5.

We have the formula x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}.

Step 2:

By substituting the known values, we get

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a} =\frac{-6 \pm \sqrt{6^{2}-4 (2)(-5)}}{2 (2)}.

\frac{-6 \pm \sqrt{6^{2}-4 (2)(-5)}}{2 (2)} = \frac{-6 \pm \sqrt{36-4 (2)(-5)}}{4} .

This is the third option.

8 0
4 years ago
What is the standard form of five and three hundred fifty two thousands
suter [353]
The number "seven hundred and four thousand, six hundred and twenty" is written as 704,620 in numeric or standard form.<span> In converting a number expressed in words to numerals, it is important to write each digit in its proper place value.</span>
7 0
3 years ago
Other questions:
  • The drawing below (not to scale) shows a running track. The ends are semicircles. The distance between the two inner parallel st
    9·1 answer
  • An american engineer who had been transferred to europe was asked to build bridge pilings exactly as he had in the united states
    10·1 answer
  • Which steps would be used to solve this equation?
    15·2 answers
  • If y= 3-xy find the value of when x = 1​
    15·2 answers
  • Classify the following triangle as acute, obtuse, or right.
    14·1 answer
  • 90 POINTS!!!! A sequence is defined by the recursive function f(n + 1) = –10f(n). If f(1) = 1, what is f(3)? 3 –30 100 –1,000
    5·1 answer
  • A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola 40 milligrams. You want to te
    15·1 answer
  • Please help! (Will mark Brainlist)
    13·2 answers
  • 1. What is the length of AD?
    14·1 answer
  • PLEASE ANSWER I AM LOSING POINTS :( GO THROUGH ALL IMAGES AND ANSWER
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!