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
lana [24]
2 years ago
14

List the next three terms in the following sequence:

Mathematics
2 answers:
weqwewe [10]2 years ago
7 0

Answer:

d

Step-by-step explanation:

strojnjashka [21]2 years ago
6 0

Answer:

The answer is D

Step-by-step explanation:

Each time sum of previous number and position of that previous number in given series, with the formula being:

previous number + position of previous number = next number

For example, 7 is in the 4th spot so 7+4=11.

You might be interested in
Find the third order maclaurin polynomial. Use it to estimate the value of sqrt1.3
vodka [1.7K]

\sqrt{1+3x}=1+\frac{3}{2} x-\frac{9}{8} x^{2} + \frac{81}{8}x^{3} is the maclaurin polynomial and estimate value of \sqrt{1.3} is 1.14. This can be obtained by using the formula to find the maclaurin polynomial.

<h3>Find the third order maclaurin polynomial:</h3>

Given the polynomial,

f(x)=\sqrt{1+3x}=(1+3x)^{\frac{1}{2} }

The formula to find the maclaurin polynomial,

f(0)+\frac{f'(0)}{1!}x+\frac{f''(0)}{2!}x^{2} + \frac{f'''(0)}{3!}x^{3}

Next we have to find f'(x), f''(x) and f'''(x),

  • f'(x) = \frac{3}{2}(1+3x)^{-\frac{1}{2} }
  • f''(x) =-\frac{9}{4}(1+3x)^{-\frac{3}{2} }
  • f'''(x) = \frac{81}{8}(1+3x)^{-\frac{5}{2} }

By putting x = 0 , we get,

  • f(0)=(1+3(0))^{\frac{1}{2} }=1
  • f'(0) = \frac{3}{2}(1+3(0))^{-\frac{1}{2} }=\frac{3}{2}
  • f''(0) =-\frac{9}{4}(1+3(0))^{-\frac{3}{2} }=-\frac{9}{4}
  • f'''(0) = \frac{81}{8}(1+3(0))^{-\frac{5}{2} }=\frac{81}{8}

Therefore the maclaurin polynomial by using the formula will be,

\sqrt{1+3x}=f(0)+\frac{f'(0)}{1!}x+\frac{f''(0)}{2!}x^{2} + \frac{f'''(0)}{3!}x^{3}

\sqrt{1+3x}=1+\frac{3}{2} x-\frac{9}{8} x^{2} + \frac{81}{8}x^{3}

To find the value of \sqrt{1.3}  we can use the maclaurin polynomial,

\sqrt{1.3} is  \sqrt{1+3x} with x = 1/10,

\sqrt{1+3(1/10)}=1+\frac{3}{2} (1/10)-\frac{9}{8} (1/10)^{2} + \frac{81}{8}(1/10)^{3}

\sqrt{1+3(1/10)}=\frac{18247}{16000} = 1.14

Hence \sqrt{1+3x}=1+\frac{3}{2} x-\frac{9}{8} x^{2} + \frac{81}{8}x^{3} is the maclaurin polynomial and estimate value of \sqrt{1.3} is 1.14.

Learn more about maclaurin polynomial here:

brainly.com/question/24188694

#SPJ1

6 0
1 year ago
Read 2 more answers
What is the simplified expression for 3a²+9ab+5-4a²-4ab+3 ​
zheka24 [161]

Answer:

5ab + 8 - 1a^2.

Step-by-step explanation:

Combining like terms, we get 3a^2 - 4a^2 = -1a^2. We get 9ab - 4ab = 5ab. Then we get, 5 + 3 = 8. Together this is 5ab + 8 - 1a^2

5 0
3 years ago
Read 2 more answers
Mario spent $5.86 for a drink and a sandwich. His drink cost $1.34. How much did Mario spend on the sandwich. Create and solve a
ycow [4]

Answer:

$5.86 - $1.34 = $4.52

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Plz Help
sweet [91]
For part A: the constant is 83.50. the variable would be c and w. and the coefficient would be 10c or 15w. 

part B: so 10(4)+15(15)+83.50 -----> 10x4= 40------> 40+15(15)+83.50---->15x15=225
40+225+83.50=348.50

part C The coefficient would change because a constant is always constant, a variable is just a letter standing in for a number which would make the coefficient the one that changes for $10 to $20.
hope that help!
6 0
3 years ago
Help!! BRAINLIEST TOO!
natulia [17]

Answer:

36.5 inches

Step-by-step explanation:

Given

See attachment for the given data

Required

Which length is closest to 4.2lb

The given data is a linear dataset.

So, we start by calculating the slope (m)

m =\frac{y_2 - y_1}{x_2 - x_1}

Pick any two corresponding points from the table

So, we have:

(x_1,y_1) = (8,1.21)

(x_2,y_2) = (12,1.63)

So:

m =\frac{y_2 - y_1}{x_2 - x_1}

m =\frac{1.63 - 1.21}{12 - 8}

m =\frac{0.42}{4}

m =0.105

The linear equation is then calculated using:

y = m(x - x_1) + y_1

This gives:

y = 0.105 * (x - 8) + 1.21

Open bracket

y = 0.105x - 0.84 + 1.21

y = 0.105x + 0.37

To get the length closest to 4.2lb,

we set y = 4.2

Then solve for x

So, we have:

y = 0.105x + 0.37

4.2 = 0.105x + 0.37

Collect like terms

0.105x= 4.2 - 0.37

0.105x= 3.83

Solve for x

x= 3.83/0.105

x\approx 36.5

4 0
3 years ago
Other questions:
  • The value of y varies directly with x, and y = 3 when x = 1.<br><br> Find y when x = −5.
    7·1 answer
  • What is the effect on the graph of the function f(x) -<br> x when f(x) is replaced with f(x) + 2?
    6·1 answer
  • 15% of 20 is what number?
    15·1 answer
  • Which angles have a greater measure than angle 4 ?
    11·1 answer
  • Round the following 25.635 to 2 d.p <br><br>315.239 to 1 dp<br><br>0.3975 to 3dp <br>14.989 to 1 dp
    13·1 answer
  • Which coordinate pair fits the set of coordinates (0,4), (-2, 1), (-4,-2)} defined by a linear function?
    15·1 answer
  • Is the relationship a function?<br> {(1,4), (4,1), (1,5),(5,1)]
    12·2 answers
  • Find f(2) for the function below f(x)=1/8 times 5^x
    15·1 answer
  • Drag each situation to show whether it can be modeled using a linear or an exponential function. If the situation cannot be mode
    14·1 answer
  • Existe un número, tal que, el doble del cuadrado del número es 12 unidades mayor, que el quíntuplo (5) del número mismo, ¿cuál e
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!