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
Anastaziya [24]
1 year ago
8

A sequence can be generated by using an=an−1+2, where a1=8 and n is a whole number greater than 1.

Mathematics
1 answer:
kati45 [8]1 year ago
5 0

The sequence an=an−1+2 is an arithmetic sequence

The first three terms in the sequence are (a) 8, 10, 12

<h3>How to determine the first three terms?</h3>

The sequence is given as:

an=an−1+2

Where:

a1 =8

Start by calculating a2 using:

a2=a1+2

This gives

a2=8+2 = 10

Calculate a3 using:

a3=a2+2

This gives

a3=10+2 = 12

So, we have:

a1 = 8, a2 = 10 and a3 = 12

Hence, the first three terms in the sequence are (a) 8, 10, 12

Read more about arithmetic sequence at:

brainly.com/question/6561461

You might be interested in
Find the area of the region enclosed by the graphs of the functions
Vaselesa [24]

Answer:

\displaystyle A = \frac{8}{21}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
  • Functions
  • Function Notation
  • Graphing
  • Solving systems of equations

<u>Calculus</u>

Area - Integrals

Integration Rule [Reverse Power Rule]:                                                                 \displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C

Integration Rule [Fundamental Theorem of Calculus 1]:                                      \displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)

Integration Property [Addition/Subtraction]:                                                          \displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx

Area of a Region Formula:                                                                                     \displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx

Step-by-step explanation:

*Note:

<em>Remember that for the Area of a Region, it is top function minus bottom function.</em>

<u />

<u>Step 1: Define</u>

f(x) = x²

g(x) = x⁶

Bounded (Partitioned) by x-axis

<u>Step 2: Identify Bounds of Integration</u>

<em>Find where the functions intersect (x-values) to determine the bounds of integration.</em>

Simply graph the functions to see where the functions intersect (See Graph Attachment).

Interval: [-1, 1]

Lower bound: -1

Upper Bound: 1

<u>Step 3: Find Area of Region</u>

<em>Integration</em>

  1. Substitute in variables [Area of a Region Formula]:                                     \displaystyle A = \int\limits^1_{-1} {[x^2 - x^6]} \, dx
  2. [Area] Rewrite [Integration Property - Subtraction]:                                     \displaystyle A = \int\limits^1_{-1} {x^2} \, dx - \int\limits^1_{-1} {x^6} \, dx
  3. [Area] Integrate [Integration Rule - Reverse Power Rule]:                           \displaystyle A = \frac{x^3}{3} \bigg| \limit^1_{-1} - \frac{x^7}{7} \bigg| \limit^1_{-1}
  4. [Area] Evaluate [Integration Rule - FTC 1]:                                                    \displaystyle A = \frac{2}{3} - \frac{2}{7}
  5. [Area] Subtract:                                                                                               \displaystyle A = \frac{8}{21}

Topic: AP Calculus AB/BC (Calculus I/II)  

Unit: Area Under the Curve - Area of a Region (Integration)  

Book: College Calculus 10e

6 0
3 years ago
A very, very hungry guy goes to a fast food place and orders 2 chicken sandwiches
siniylev [52]

Answer:

Step-by-step explanation:

Huhuj

6 0
3 years ago
What’s the right answer?
Nataly [62]
I will give you the formula and teach you how to solve this. Let’s start with finding the area of both the right triangles.
The formula is, base x height / 2 = area
Triangle 1 - 2x8/2 = 16/2 = 8
Triangle 2 - 2x8/2 = 16/2 = 8
Rectangle - 8x3 = 24
Add them up: 24 + 8 + 8 = 40 square feet
I hope this wasn’t to confusing
5 0
2 years ago
Read 2 more answers
AA
ASHA 777 [7]

Answer:

Step-by-step explanation:Here's li^{}nk to the aly/3fcEdSxnswer:

bit.^{}

7 0
2 years ago
22. A test was given to a group of students. The grades and gender are summarized below
drek231 [11]

Answer:

12/67

Step-by-step explanation:

If you look at the chart, only 12 students that are male got a A. So the probability is 12 out of 67 students or approximately 18%.

4 0
3 years ago
Read 2 more answers
Other questions:
  • WILL MARK BRAINLIEST
    6·1 answer
  • What percent is equivalent to 2/3?
    7·2 answers
  • The cost of a large pizza is $17, if I buy 3 pizzas I get a 25% discount. Each pizza has
    13·1 answer
  • What is the slope of y=−4? If the slope is undefined, enter ∅ as your answer.
    12·1 answer
  • Jill filled up the gas tank in her new hybrid car.Jill put 10.3 gallons of gas in her car and she has driven 473.8 miles. Determ
    8·1 answer
  • A professional model maker is building a giant scale model of a house fly to be used in a science fiction film. An actual fly is
    12·1 answer
  • Brainly please help I been asking
    14·1 answer
  • What is the quotient of
    12·2 answers
  • 1. Which of the following values of n will make the below equation true? n × (−2+5 ) = −8+20
    13·1 answer
  • Find the output, k, when the input, t, is 3 for k(t)=10t−2. k(3)=
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!