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2 Sequences, expressions and formulae






               A formula is a set of instructions for working something out. It is a   Key words
                                                                                     e
                                                                                       y word
                                                                                    K
                                                                                              s
               rule that can be written as letters or in words. The plural of formula
               is formulae.                                                        Make sure you learn and
                                                                                   understand these key words:
               People use formulae in everyday life to work out all sorts of things.
                                                                                   linear sequence
               An employer may use a formula to work out how much to pay the
               people who work for them.                                           term-to-term rule
                                                                                   position-to-term rule
               They could use a formula such as P = R × H, where P is the pay, R is   nth term
               the amount paid per hour and H is the number of hours worked.
                                                                                   function
                                                                                   function machine
                                                                                   input
                                                                                   output
                                                                                   mapping diagram
                                                                                   map
                                                                                   algebraically
                                                                                   equation
                                                                                   expression
                                                                                   variable
                                                                                   linear expression
                                                                                   formula (formulae)
                                                                                   derive



               Engineers may use a formula to work out the time it takes
               for a car to accelerate from one speed to another.
                                               −
               They could use the formula t =  vu  , where t is the time,
                                               a
               v is the finishing speed, u is the starting speed and a is the
               acceleration.
               Doctors may use a formula to work out how healthy a person
               is. They could use the formula for finding the person’s body
               mass index (BMI).
               The formula is: BMI =  mass  , where the person’s mass is
                                     height 2
               measured in kilograms and their height is measured in metres.
               If a person’s BMI is too high or too low the doctor may ask them to
               lose some weight, or put some on, to make them healthier.
               In this unit you will learn how to substitute numbers into formulae
               and expressions. You will also learn more about number sequences
               and functions.









       18      2 Sequences, expressions and formulae
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