Joshua uses a rule to write the following sequence of numbers 1/6,1/2,5/6,----------,11/2 What rule did Joshua use? What is the missing number in the sequence?

Answers

Answer 1
Answer:

Answer: The missing number in the sequence is (7)/(6)

Step-by-step explanation:

Since we have given that

(1)/(6),(1)/(2),(5)/(6),----------,(11)/(2)

First term = a= (1)/(6)

Common difference = d is given by

d=a_2-a_1\n\n(1)/(2)-(1)/(6)\n\n=(6-2)/(12)\n\n=(4)/(12)=(1)/(3)\n\nSimilarly,\nd=a_3-a_2\n\n=(5)/(6)-(1)/(2)\n\n=(10-6)/(12)\n\n=(4)/(12)\n\n=(1)/(3)

Therefore, it forms an arithmetic sequence.

Since, a_4 is missing,

So,

a_4=a+3d\n\na_4=(1)/(6)+3* (1)/(3)\n\na_4=(1)/(6)+1\n\na_4=(1+6)/(6)\n\na_4=(7)/(6)

Hence, the missing number in the sequence is (7)/(6)

Answer 2
Answer: This is an arithmetic progression at a rate of 2/6. 

So 1/6 + 2/6 = 3/6 (1/2)
3/6 + 2/6 = 5/6
5/6 + 2/6 = 7/6
....
29/6 + 2/6 = 31/6 
31/6 +2/6 = 33/6 (11/2)

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Which scenario is most likely the one shown on the graph

Answers

It displays a relationship between variable X and Y.
It introduces the relationship between two variables and is called correlation. Proportionality or variation is state of relationship or correlation between two variables It has two types: direct variation or proportion which states both variables are positively correlation. It is when both the variables increase or decrease together. On the contrary, indirect variation or proportion indicates negative relationship or correlation. Elaborately, the opposite of what happens to direct variation. One increases with the other variables, you got it, decreases. 

Tony hit 9 out of 15 pitches at baseball practice yesterday. What percentage of the pitches did Tony NOT hit?

Answers

Answer:

40%

Step-by-step explanation:

using the box method,

multiply 9 × 100

= 900 and divide 900 by 15

900 ÷ 15 = 60%

60% is the amount of pitches he hit

100% - 60% = 40%

he missed 40%

Answer:

5%

Step-by-step explanation:

Does the rule y=-3x^5 represent an exponential function?

Answers

Hello,

y=-3*(x^5) is not an exponential equation but a polynomial equation.

Final answer:

The equation y=-3x^5 is not an exponential function. It is actually a polynomial function, specifically a quintic function. In an exponential function, the variable is in the exponent, which is not the case in this function.

Explanation:

The function you proposed, y=-3x^5, does not represent an exponential function. The primary characteristic of an exponential function is that the variable, in this case 'x', is in the exponent e.g. y = b^x where b is a positive constant.

In your equation, the variable 'x' is the base of the power, not the exponent. Thus, y=-3x^5 is a polynomial function, specifically it's a quintic function because the largest exponent is 5.

The output of an exponential function grows or decays proportionally, whereas for a quintic function, the growth rate will not necessarily be proportional.

Learn more about Exponential Function here:

brainly.com/question/37289664

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At a store 4 out of every 5 customers make a purchase what percent of costumers make a purchase pleas include steps​

Answers

Answer: 80%

Step-by-step explanation: In the store every 4 out of 5 costumers purchase an product.

If you multiply numbers by 20, you get the demoninator to be 100, which then you can get the percentage by finding 4x20=80.

Therefore, converted, 4/5=80%.

I NEED HELP WITH THIS PLZZZ

Answers

Answer:

The center of the circle is point: C=(1,5).

The radius of the circle is r=3.

Step-by-step explanation:

x² + y² -2x - 10y + 17 = 0

Find the center and radius of this circle

We have the equation

x² + y² -2x - 10y + 17 = 0

We collect like terms

x² - 2x + y² - 10y = -17

x² - 2x + (-2/2)² + y² - 10y + (-10/2)² = -17 + (-2/2)² + (-10/2)²

The center of the circle is point: C=(1,5).

The radius of the circle is r=3.

Select the statement that is the converse of the following statement:If I get a good grade on my next math test, then I'll be stoked.
Answer
If I'm stoked, then I got a good
grade on my math test.
If I'm not stoked, then I didn't
O get a good grade on my math
test.
If I don't get a good grade on
my next math test, then I won't
be stoked.
If I get a good grade on my
next math test, then I won't be
stoked.

Answers

Answer:

"If I don't get a good grade on my next math test, then I won't be stoked."

Step-by-step explanation:

The original statement is about a good grade leading to being happy. The converse statement is about a bad grade leading to not being happy. It's the opposite situation but still follows a similar pattern: "If A, then B" becomes "If not A, then not B."
Let me know if you have any questions!