Page 220 - Math Smart - 7

So, each term in the given sequence = multiples of 3 + 1.
Ti=4 = 3 + 1=3xi + 1
1
T2 = 7 = 6 + 1= 3x2 +
1
T3 = 10 = 9 + 1= 3x3 +
1
T4 = 13 = 12 + 1 =3 X 4 +
1
T5 = 16 = 15 + 1 =3 X 5 +
So, = 3 X /; + 1 = 3« + 1.

O T75 = 3 X 75 + 1 = 225 + 1 = 226

Check My
Understanding

O Recall the Think and Share we did earlier. A function is being held in the school hall.
6 people can sit around one table, but if two tables are pushed together, then 10 people
can sit around the tables, as shown In the diagram below.
'ft

1 table: 6 people 2 tables: 10 people

a) Draw diagrams to work out the number of people that can sit around
0 3 tables, ii) 4 tables and lil) Stables.

b) Complete the table below.

Number of tables 1 2 3 4 5
Number of people that can sit around the tables

Write down the term-to-term rule. Use the table to help you.

Add two rows to the table as shown below to determine T-i, T2, T3, T4, T5 and T^, the formula for
finding the number of people who can sit around n tables.
Number of tables 1 2 3 4 5
Number of people that can sit around the tables
6 10
Multiples of ...
Difference between the number of people and
the multiples of...

d) How many people can sit around 75 tables?

216 UNIT 9 Terms and Sequences