What number follows in this series, 23, 3, 18, 9, 13, 27, 8, ?

Answers

Answer 1

Answer:

81

Explanation:

This pattern is a complex pattern where there are two different patterns happening.  It is similar to the following:

0, 10, 0, 9, 0, 8, 0, 7, 0, 6, 0, 5, 0, 4, 0...

Note that in the pattern I've written, starting with the first term, every other number is exactly zero, so I can deduce that two terms after the last given term, it will be a zero.

Also, beginning with the second term, every other term decreases by 1.  So, the next term in the pattern I've written would be 3, because 4-1 = 3.

For your given pattern, 23, 3 18, 9, 13, 27, 8, __ ...

Note that beginning with the first term, and looking only at every other term, the terms are decreasing by 5.  (23-18 = 5,  18-13 = 5,  13-8 = 5.)

Beginning with the second term, and looking only at every other term from there, the terms are increasing, but at a changing rate (changing from 3 to 9 is a difference of 6, but from 9 to 27 is a difference of 18).  This pattern is geometric, and the terms are multiplied by 3 (note that the quotient 9/3 = 3, and 27/9 = 3).  So, multiplying the second to last term by 3, we get the next term in the pattern:

27*3 = 81


Related Questions

Answer the questions below to find the total surface area of the can. A can with radius 2.5 inches and height 5 inches. 2 circles with radius 2.5 inches on opposite sides of a rectangle with width 5 inches. Find the area of the circles at the top and bottom of the can. The area of each circle is exactly π square inches. There are identical circles in the cylinder. So the total area of all the circles is π square inches. Find the area of the rectangular label. One side of the rectangle is π in. The other side of the rectangle is inches. The area of the rectangle is exactly π square inches. Find the total surface area of the tomato ketchup can. The total surface area is exactly π square inches.

Answers

The total surface area of the tomato ketchup can is determined as 37.5 π in².

Total surface area of the can

The can be modeled as a cylinder and the total surface area is calculated as follows;

T.S.A = 2(area of circles) + 2(Curved surface area) or area of rectangle

T.S.A =  2πr² + 2πrh

Area of each circle in π square inches

A = πr²

A = (2.5)²π

A = 6.25π in²

Total area of the circles

A = 2(6.25π in²) = 12.5 π in²

Area of the rectangle

A = 2πrh

A = 2(2.5)(5)π

A = 25 π in²

Total surface area of the can

A = 12.5 π in² +  25 π in²

A = 37.5 π in²

Thus, the total surface area of the tomato ketchup can is determined as 37.5 π in².

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what does an actuator do?




Answers

Answer:

An actuator is a device that uses a form of power to convert a control signal into mechanical motion. From electric door locks in automobiles, to ailerons on aircraft, actuators are all around us.

An actuator is a device that produces a motion by converting energy and signals going into the system. The motion it produces can be either rotary or linear. An actuator is a device that produces a motion by converting energy and signals going into the system. The motion it produces can be either rotary or linear.

Recognize how philosophical and physiological perspectives shaped the development of psychological thought.

Answers

Earliest philosophers such as Socrates and Plato discussed the subject of the mind from the standpoint of logic.

What is psychological thought?

Psychology is the study of the mind and the thought processes. It extends to the discussions that revolve around the behavior of individuals.

The earliest contributors to psychology approached the subject from a philosophical perspective. Earliest philosophers such as Socrates and Plato discussed the subject of the mind from the standpoint of logic. Hence, the intermarriage between logic and psychology was a key factor in the development of psychological thought.

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How might you respond to cyber bullying? Check all that apply. Report the incident to a parent or guardian. Collect evidence on the bully. Ignore the bully. Look into anti-bullying laws. Tell a school teacher or administrator.

Answers

Answer:

Report the incident to a parent or guardian, collect evidence, and tell your teacher

Explanation:

Which is the BEST example of showing agency in one’s education? A. making friends while getting your education B. taking the required courses and nothing more C. actively looking for new opportunities to build skills D. doing exactly what an advisor or other agent suggests

Answers

The best example of showing agency in one’s education is: C. actively looking for new opportunities to build skills.

What is an agency?

An agency can be defined as the ability of an individual to identify valued goals, priorities and desired outcomes, so as to enhance the purposeful pursuit of those goals and desired outcomes proactively, efficiently and effectively.

In this context, we can infer and logically conclude that actively looking for new opportunities to build skills is the best example of showing agency in one’s education.

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