Write a specific term from the formula for the nth term of a sequence
Identify arithmetic and geometric sequences
Use the summation notation
Define a series as the sum of the terms of a sequence
Obtain expressions for the general terms and sums of finite arithmetic and finite and infinite geometric series
Show that all arithmetic series (except for zero common difference) are divergent, and that geometric series are convergent only if‐1< r <1, where r is the common ratio
Calculate the sum of arithmetic series to a given number of terms
Calculate the sum of geometric series to a given number of terms
I was once a student just like you. I struggled with Mathematics for the first two years of my secondary school life. In Third Form, my teacher, Dr Sargeant, taught Mathematics in a unique way which allowed me to successfully learn the subject which I was passionate about. Her teaching enabled me to in an area which I would eventually pursue as...
Many years ago, when I trained in the gym, the instructor often said to us young males who wanted to get a big chest and big arms as quickly as possible, "The fastest thing you will get in the gym is HURT." Results take time. There is no quick fix to better grades. Practice is paramount to success in Mathematics. Therefore, we do not stop...