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#Sequences and series series
#Sequences and series download

#Sequences and series series

Sequences and Series are used in many fields of engineering.Ĭalculus is one of the greatest achievements of the human mind separately invented by Newton and Leibniz. Public domain image from the Wikimedia Commons The Fibonacci series is used in computer search algorithms, and in biology they describe the pattern of pine cones and flowering of artichokes.Īn approximation of the golden spiral created by drawing circular arcs connecting the opposite corners of squares whose side lengths are successive Fibonacci numbers. The Fibonacci series is the series where each subsequent number is the sum of the previous two or F n = F n-1 + F n-2 . Where the Greek letter sigma ∑ is the mathematical symbol for a sum, or the summation operator.

How many grains are placed on an 8×8 chessboard? Since this is a geometric series, the answer for n squares is so for n = 8 x 8= 64 squares, the total number of grains of wheat = 2 64 - 1. This means that you can then go back to the topic quizzes and do additional practice in the right area.We are concerned with two main types of series or sequences of numbers: Arithmetic series were the difference between any two consecutive terms is a constant, and geometric series were the ratio of any two consecutive terms is always the same.Ī well-known example of a geometric series is the ‘Wheat and Chessboard Problem’: Let one grain of wheat be placed on the first square of a chessboard, two on the second, four on the third, eight on the fourth, etc. If you are struggling in a particular subtopic in Sequences and Series, the diagnostic quiz will pick this up.

Revision / Test Preparation - The best way to identify which areas to focus on for an upcoming test or school quiz.

Test Understanding - If you have completed the entire topic at school, run through the diagnostic to make sure that you have not forgotton anything.

While both options are available, we recommend you put yourself in the "testing environment" by printing out the quiz. In both testing cases, you will need to submit your answers online for diagnostics. Instantly, you can view the answer and submit your answers. This will give you the questions on the computer screen and you can work through the problem on a sheet of paper.

Complete online If you want to work through the diagnostic quiz "live", click the complete online button.You will need to submit your responses online after the quiz is finished but we highly recommend practicing by downloading the quiz. This is how the school will give it to you so practice this was as well. There will be plenty of room for working so complete the questions on the paper.

#Sequences and series download

Use the Download Quiz button to print out the quiz and print it out. Download Quiz The best practice is to use a pen and paper.Each sub topic of Sequences and Series will be covered in the diagnostic quiz. The diagnostic quiz for Sequences and Series has been designed for a quick little revision quiz for the whole Sequences and Series topic.