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dangina [55]
3 years ago
8

The first term in a sequence of numbers is 1/2

Mathematics
1 answer:
Andrei [34K]3 years ago
7 0

Answer:

The correct answer is C. The 4th term is 11.

Step-by-step explanation:

Since the next term is one more than twice the previous, we can calculate it by the following expression:

a_{n} = 2*a_{n-1} + 1

So the second term is:

a_2 = 2*\frac{1}{2} + 1\\a_2 = 2

The third term:

a_3 = 2*2 + 1\\a_3 = 5

And the fourth term:

a_4 = 2*5 + 1\\a_4 = 10 + 1 = 11

The correct answer is C. The 4th term is 11.

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Shade the model to show the decimal 0.542 using 100 grid and 10 grid
kherson [118]

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          = \frac{5}{10} + \frac{4}{100} +\frac{2}{1000}

         =5 tenth + 4 hundredths + two thousandths

One tenth = \frac{1}{10}

One Hundredth= \frac{1}{100}

One thousandth= \frac{1}{1000}


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3 years ago
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mariarad [96]

Answer:

13/19

Step-by-step explanation:

To find the reciprocal, flip the number.

The reciprocal of 19/13 is 13/19

~

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Rzqust [24]

Answer:

x = - 3 and x = 1

Step-by-step explanation:

Given the rational expression

\frac{x}{x^2+2x-3}

The denominator of the expression cannot be zero as this would make the expression undefined. Equating the denominator to zero and solving gives the values that x cannot be, that is

x² + 2x - 3 = 0 ← in standard form

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Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

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3 0
3 years ago
For which value of theta is cot (theta) undefined?
sattari [20]

The cotangent function is defined as the ratio between cosine and sine of a given angle, i.e.


\cot(x) = \frac{\cos(x)}{\sin(x)}


Since you can't have zero at the denominator, the cotangent function is not defined when the sine is zero.


Let's look at your option:


\sin(90^\circ) = 1, so the cotangent is defined here


\sin(180^\circ) = 0, so the cotangent is not defined here


\sin(270^\circ) = -1, so the cotangent is defined here


\sin(450^\circ) = \sin(360^\circ+90^\circ)=\sin(90^\circ) = 1, so the cotangent is defined here

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4 + 1 = 5
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