John’s mum gives him €50 to help him start saving. John puts the €50 from his mum into a savings account and he puts an additional €25 into the account at the end of each month for six months. (i) Represent this information in a table. (ii) Represent this information on a graph. (iii) Find a rule, in words, which gives the total amount in the savings account at the end of a given month. (iv) Find a formula for the general term for the above pattern.
(v) John decides to continue with his savings for another year. Use the general expression to fi nd the total amount of money John has in his account at the end of the 18th month.
Solution (i)
(ii)
(iii) (iv)
(v)
Section A Applying our skills
27
2 Exploring patterns, expressions, equations and functions