Chapter 1
Chapter 1
Write on the board. Ask the class to find the total in ten seconds without calculators. Pair the numbers from opposite ends:
There are pairs in total:.
Summation
Summation
Sigma Notation What is Sigma Notation? Sigma Notation is a shorthand way of expressing a sum. It Uses the Greek letter sigma: E
Any letter can be used to index a summation
Five greater than j two equals twelve plus twenty-two plus thirty-two plus forty-two plus fifty-two j equals one to five, one plus four plus nine plus sixteen plus twenty-five equals fifty-five.
Sigma i equals Sigma a i equals Sigma epsilon. i equals one j equals one k equals one the value of four negative one to the power of k?
Evaluate
Evaluate
Two i plus three equals open bracket two times one plus three close bracket plus open bracket two times two plus three close bracket plus open bracket two times three plus three close bracket plus open bracket two times four plus three close bracket i equals one
Equals two plus three, plus four plus three, plus six plus three, plus eight plus three equals five plus seven plus nine plus eleven equals thirty-two
Six open bracket two j plus three close bracket equals open bracket two times three plus three close bracket plus open bracket two times four plus three close bracket plus open bracket two times five plus three close bracket plus open bracket two times six plus three close bracket j equals three to six
Equals six plus three, plus eight plus three, plus ten plus three, plus twelve plus three equals nine plus eleven plus thirteen plus fifteen equals forty-eight