All categories

3 years ago

What is the nth term rule of the linear sequence below?

Mathematics

1 answer:

Katena32 [7]3 years ago

6 0

Answer:

4n -13

Step-by-step explanation:

notice that the difference between the adjacent terms is 4.

nth term is given by:

nth term = first term + (n-1) × difference -n is any number

= -9 + (n-1) × 4

= -9 + 4n -4

= 4n -13

You might be interested in

Water from a leaking faucet is dripping into a cylindrical cup. The height of water in inches, y, after x hours is graphed below

noname [10]

Answer:bxbs

Step-by-step explanation:

Jdjd

5 0

3 years ago

a student either knows the answer or guesses. Let 3434 be the probability that he knows the answer and 1414 be the probability t

Arlecino [84]

Answer: $\dfrac{12}{13}$

Step-by-step explanation:

Let A = he known the answer then A' = he guess the answer.

B = he answered it correctly

As per given , we have

$P(A)=\dfrac{3}{4}\ \ ,\ \ P(A')=\dfrac{1}{4}$

$P(B|A)=1$

$P(B|A')=\dfrac{1}{4}$

By Bayes theorem , we have

$P(A|B)=\dfrac{P(B|A)P(A)}{P(B|A)P(A)+P(B|A')P(A')}\\\\ P(A|B)=\dfrac{1\times\dfrac{3}{4}}{1\times\dfrac{3}{4}+\dfrac{1}{4}\times\dfrac{1}{4}}\\\\= \dfrac{12}{13}$

The probability that the student knows the answer given that he answered it correctly is $\dfrac{12}{13}$ .

6 0

3 years ago

Simplify using the distributive property, Show all work (-2x - 9)(-4).

fgiga [73]

-2x(-4)=8x
-9(-4)=36
8x+36 is the answer

6 0

3 years ago

What is the measure of angle 1?

svp [43]

Answer:

88°

Step-by-step explanation:

Since we have 2 parallel lines, first we use the Corresponding Angles Postulate.

Since angle 2 is corresponding to the 92° angle,

angle 2 = 92°

Now we know that angle 1 and angle 2 are supplementary.

This means:

angle 1 + angle 2 = 180°

<em>(substitute known values)</em>

angle 1 + 92 = 180

<em>(subtract 92 on both sides)</em>

<h2>angle 1 = 88°</h2><h2></h2>

Hope this helps, please say thanks if it does!

3 0

2 years ago

find the consecutive even integers such that three times the larger number is 30 more than the smaller one. help :')

Minchanka [31]

Answer:

12 and 14

Step-by-step explanation:

Let the even integers be x and x+2

three times the larger number is expressed as 3(x+2)

30 more than the smaller one is x + 30

Equating both expressions

3(x+2) = x +30

Find x

3x+6 = x+30

3x-x = 30-6

2x = 24

x = 12

The second integer is 12+2 = 14

Hence the required integers are 12 and 14

4 0

3 years ago